Index

A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y

A

A() (sage.groups.affine_gps.group_element.AffineGroupElement method)
abelian_invariants() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.free_group.FreeGroup_class method)
AbelianGroup (class in sage.groups.group)
AbelianGroup() (in module sage.groups.abelian_gps.abelian_group)
AbelianGroup_class (class in sage.groups.abelian_gps.abelian_group)
AbelianGroup_subgroup (class in sage.groups.abelian_gps.abelian_group)
AbelianGroupElement (class in sage.groups.abelian_gps.abelian_group_element)
AbelianGroupElementBase (class in sage.groups.abelian_gps.element_base)
AbelianGroupMap (class in sage.groups.abelian_gps.abelian_group_morphism)
AbelianGroupMorphism (class in sage.groups.abelian_gps.abelian_group_morphism)
AbelianGroupMorphism_id (class in sage.groups.abelian_gps.abelian_group_morphism)
AbelianGroupWithValues() (in module sage.groups.abelian_gps.values)
AbelianGroupWithValues_class (class in sage.groups.abelian_gps.values)
AbelianGroupWithValuesElement (class in sage.groups.abelian_gps.values)
AbelianGroupWithValuesEmbedding (class in sage.groups.abelian_gps.values)
absolute_length() (sage.groups.perm_gps.permgroup_element.SymmetricGroupElement method)
act_to_right() (sage.groups.group_semidirect_product.GroupSemidirectProduct method)
action_on_root_indices() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup.Element method)
add_strings() (in module sage.groups.abelian_gps.dual_abelian_group_element)
AdditiveAbelianGroup() (in module sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroup_class (class in sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroup_fixed_gens (class in sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroupElement (class in sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroupWrapper (class in sage.groups.additive_abelian.additive_abelian_wrapper)
AdditiveAbelianGroupWrapperElement (class in sage.groups.additive_abelian.additive_abelian_wrapper)
AffineGroup (class in sage.groups.affine_gps.affine_group)
AffineGroupElement (class in sage.groups.affine_gps.group_element)
alexander_matrix() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
alexander_polynomial() (sage.groups.braid.Braid method)
algebra() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
AlgebraicGroup (class in sage.groups.group)
AlternatingGroup (class in sage.groups.perm_gps.permgroup_named)
AlternatingPresentation() (in module sage.groups.finitely_presented_named)
ambient() (sage.groups.libgap_wrapper.ParentLibGAP method)
ambient_group() (sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_subgroup method)
an_element() (sage.groups.braid.BraidGroup_class method)
(sage.groups.conjugacy_classes.ConjugacyClass method)
(sage.groups.group_exp.GroupExp_Class method)
as_AbelianGroup() (sage.groups.perm_gps.permgroup_named.CyclicPermutationGroup method)
as_finitely_presented_group() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
as_matrix_group() (sage.groups.matrix_gps.matrix_group.MatrixGroup_base method)
as_permutation() (sage.groups.abelian_gps.abelian_group_element.AbelianGroupElement method)
as_permutation_group() (sage.groups.braid.BraidGroup_class method)
(sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.matrix_gps.finitely_generated.FinitelyGeneratedMatrixGroup_gap method)
(sage.groups.raag.RightAngledArtinGroup method)

B

b() (sage.groups.affine_gps.group_element.AffineGroupElement method)
B() (sage.groups.perm_gps.cubegroup.CubeGroup method)
base() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
base_ring() (sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.perm_gps.permgroup_named.PermutationGroup_plg method)
(sage.groups.perm_gps.permgroup_named.SuzukiGroup method)
(sage.groups.semimonomial_transformations.semimonomial_transformation_group.SemimonomialTransformationGroup method)
bilinear_form() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
BinaryDihedralGroup (class in sage.groups.matrix_gps.binary_dihedral)
BinaryDihedralPresentation() (in module sage.groups.finitely_presented_named)
blocks_all() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
Braid (class in sage.groups.braid)
BraidGroup() (in module sage.groups.braid)
BraidGroup_class (class in sage.groups.braid)
bsgs() (in module sage.groups.generic)
burau_matrix() (sage.groups.braid.Braid method)

C

canonical_matrix() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup.Element method)
canonical_representation() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
cardinality() (sage.groups.braid.BraidGroup_class method)
(sage.groups.conjugacy_classes.ConjugacyClassGAP method)
(sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.matrix_gps.binary_dihedral.BinaryDihedralGroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.PrimitiveGroupsOfDegree method)
(sage.groups.perm_gps.permgroup_named.TransitiveGroupsOfDegree method)
(sage.groups.raag.RightAngledArtinGroup method)
cartan_type() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
center() (sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
central_character() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
centralizer() (sage.groups.braid.Braid method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
character() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
character_table() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
class_function() (sage.groups.libgap_mixin.GroupMixinLibGAP method)
ClassFunction() (in module sage.groups.class_function)
ClassFunction_gap (class in sage.groups.class_function)
ClassFunction_libgap (class in sage.groups.class_function)
cohomology() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
cohomology_part() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
color_of_square() (in module sage.groups.perm_gps.cubegroup)
commutator() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
components_in_closure() (sage.groups.braid.Braid method)
composition_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
conjugacy_class() (sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
conjugacy_class_iterator() (in module sage.groups.perm_gps.symgp_conjugacy_class)
conjugacy_class_representatives() (sage.groups.libgap_mixin.GroupMixinLibGAP method)
conjugacy_classes() (sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
conjugacy_classes_iterator() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
conjugacy_classes_representatives() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
conjugacy_classes_subgroups() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
ConjugacyClass (class in sage.groups.conjugacy_classes)
ConjugacyClassGAP (class in sage.groups.conjugacy_classes)
conjugate() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
conjugating_braid() (sage.groups.braid.Braid method)
construction() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
cosets() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
cover_and_relations_from_invariants() (in module sage.groups.additive_abelian.additive_abelian_group)
coxeter_diagram() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
coxeter_graph() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
coxeter_matrix() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
(sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
CoxeterMatrixGroup (class in sage.groups.matrix_gps.coxeter_group)
CoxeterMatrixGroup.Element (class in sage.groups.matrix_gps.coxeter_group)
create_poly() (in module sage.groups.perm_gps.cubegroup)
CubeGroup (class in sage.groups.perm_gps.cubegroup)
cubie() (sage.groups.perm_gps.cubegroup.RubiksCube method)
cubie_centers() (in module sage.groups.perm_gps.cubegroup)
cubie_colors() (in module sage.groups.perm_gps.cubegroup)
cubie_faces() (in module sage.groups.perm_gps.cubegroup)
cycle_string() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
cycle_tuples() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
cycle_type() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
cycles() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
CyclicPermutationGroup (class in sage.groups.perm_gps.permgroup_named)
CyclicPresentation() (in module sage.groups.finitely_presented_named)

D

D() (sage.groups.perm_gps.cubegroup.CubeGroup method)
decompose() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
default_representative() (in module sage.groups.perm_gps.symgp_conjugacy_class)
degree() (sage.groups.affine_gps.affine_group.AffineGroup method)
(sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_generic method)
(sage.groups.pari_group.PariGroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.semimonomial_transformations.semimonomial_transformation_group.SemimonomialTransformationGroup method)
Delta() (sage.groups.braid.BraidGroup_class method)
derived_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
descents() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup.Element method)
determinant_character() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
dict() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
DiCyclicGroup (class in sage.groups.perm_gps.permgroup_named)
DiCyclicPresentation() (in module sage.groups.finitely_presented_named)
DihedralGroup (class in sage.groups.perm_gps.permgroup_named)
DihedralPresentation() (in module sage.groups.finitely_presented_named)
dimension_of_TL_space() (sage.groups.braid.BraidGroup_class method)
direct_product() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
direct_product_permgroups() (in module sage.groups.perm_gps.permgroup)
discrete_log() (in module sage.groups.generic)
discrete_log_generic() (in module sage.groups.generic)
discrete_log_lambda() (in module sage.groups.generic)
discrete_log_rho() (in module sage.groups.generic)
display2d() (sage.groups.perm_gps.cubegroup.CubeGroup method)
domain() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
dual_group() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
DualAbelianGroup_class (class in sage.groups.abelian_gps.dual_abelian_group)
DualAbelianGroupElement (class in sage.groups.abelian_gps.dual_abelian_group_element)

E

Element (sage.groups.abelian_gps.abelian_group.AbelianGroup_class attribute)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class attribute)
(sage.groups.abelian_gps.values.AbelianGroupWithValues_class attribute)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class attribute)
(sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper attribute)
(sage.groups.affine_gps.affine_group.AffineGroup attribute)
(sage.groups.braid.BraidGroup_class attribute)
(sage.groups.finitely_presented.FinitelyPresentedGroup attribute)
(sage.groups.free_group.FreeGroup_class attribute)
(sage.groups.group_exp.GroupExp_Class attribute)
(sage.groups.group_semidirect_product.GroupSemidirectProduct attribute)
(sage.groups.libgap_group.GroupLibGAP attribute)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap attribute)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_generic attribute)
(sage.groups.semimonomial_transformations.semimonomial_transformation_group.SemimonomialTransformationGroup attribute)
element() (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapperElement method)
elementary_divisors() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
ElementLibGAP (class in sage.groups.libgap_wrapper)
equals() (sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
EuclideanGroup (class in sage.groups.affine_gps.euclidean_group)
exponent() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
exponent_sum() (sage.groups.braid.Braid method)
exponents() (sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
exterior_power() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)

F

F() (sage.groups.perm_gps.cubegroup.CubeGroup method)
faces() (sage.groups.perm_gps.cubegroup.CubeGroup method)
facets() (sage.groups.perm_gps.cubegroup.CubeGroup method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
field_of_definition() (sage.groups.perm_gps.permgroup_named.PermutationGroup_pug method)
finite_field_sqrt() (in module sage.groups.matrix_gps.unitary)
FiniteGroup (class in sage.groups.group)
finitely_presented_group() (sage.groups.finitely_presented.RewritingSystem method)
FinitelyGeneratedAbelianPresentation() (in module sage.groups.finitely_presented_named)
FinitelyGeneratedMatrixGroup_gap (class in sage.groups.matrix_gps.finitely_generated)
FinitelyGeneratedMatrixGroup_generic (class in sage.groups.matrix_gps.finitely_generated)
FinitelyPresentedGroup (class in sage.groups.finitely_presented)
FinitelyPresentedGroupElement (class in sage.groups.finitely_presented)
first_descent() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup.Element method)
fitting_subgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
fixed_points() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
fox_derivative() (sage.groups.free_group.FreeGroupElement method)
frattini_subgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
free_group() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.finitely_presented.RewritingSystem method)
FreeGroup() (in module sage.groups.free_group)
FreeGroup_class (class in sage.groups.free_group)
FreeGroupElement (class in sage.groups.free_group)
from_gap_list() (in module sage.groups.perm_gps.permgroup)
fundamental_weight() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
fundamental_weights() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)

G

gap() (sage.groups.class_function.ClassFunction_libgap method)
(sage.groups.finitely_presented.RewritingSystem method)
(sage.groups.libgap_wrapper.ElementLibGAP method)
(sage.groups.libgap_wrapper.ParentLibGAP method)
(sage.groups.matrix_gps.morphism.MatrixGroupMorphism_im_gens method)
gcd() (sage.groups.braid.Braid method)
gen() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)
(sage.groups.indexed_free_group.IndexedFreeAbelianGroup method)
(sage.groups.indexed_free_group.IndexedFreeGroup method)
(sage.groups.libgap_wrapper.ParentLibGAP method)
(sage.groups.matrix_gps.finitely_generated.FinitelyGeneratedMatrixGroup_generic method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.raag.RightAngledArtinGroup method)
gen_names() (sage.groups.perm_gps.cubegroup.CubeGroup method)
GeneralDihedralGroup (class in sage.groups.perm_gps.permgroup_named)
generator_orders() (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper method)
generators() (sage.groups.libgap_wrapper.ParentLibGAP method)
gens() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method)
(sage.groups.indexed_free_group.IndexedGroup method)
(sage.groups.libgap_wrapper.ParentLibGAP method)
(sage.groups.matrix_gps.finitely_generated.FinitelyGeneratedMatrixGroup_generic method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.raag.RightAngledArtinGroup method)
(sage.groups.semimonomial_transformations.semimonomial_transformation_group.SemimonomialTransformationGroup method)
gens_orders() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
gens_small() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
gens_values() (sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)
get_autom() (sage.groups.semimonomial_transformations.semimonomial_transformation.SemimonomialTransformation method)
get_perm() (sage.groups.semimonomial_transformations.semimonomial_transformation.SemimonomialTransformation method)
get_v() (sage.groups.semimonomial_transformations.semimonomial_transformation.SemimonomialTransformation method)
get_v_inverse() (sage.groups.semimonomial_transformations.semimonomial_transformation.SemimonomialTransformation method)
GL() (in module sage.groups.matrix_gps.linear)
GO() (in module sage.groups.matrix_gps.orthogonal)
graph() (sage.groups.raag.RightAngledArtinGroup method)
Group (class in sage.groups.group)
group() (sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
group_generators() (sage.groups.group_exp.GroupExp_Class method)
(sage.groups.group_semidirect_product.GroupSemidirectProduct method)
(sage.groups.indexed_free_group.IndexedGroup method)
group_id() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
group_primitive_id() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.PrimitiveGroup method)
GroupExp (class in sage.groups.group_exp)
GroupExp_Class (class in sage.groups.group_exp)
GroupExpElement (class in sage.groups.group_exp)
GroupHomset() (in module sage.groups.group_homset)
GroupHomset_generic (class in sage.groups.group_homset)
GroupLibGAP (class in sage.groups.libgap_group)
GroupMixinLibGAP (class in sage.groups.libgap_mixin)
GroupSemidirectProduct (class in sage.groups.group_semidirect_product)
GroupSemidirectProductElement (class in sage.groups.group_semidirect_product)
GU() (in module sage.groups.matrix_gps.unitary)

H

hap_decorator() (in module sage.groups.perm_gps.permgroup)
has_descent() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
has_element() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
has_regular_subgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
has_right_descent() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup.Element method)
holomorph() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
hom() (sage.groups.matrix_gps.matrix_group.MatrixGroup_generic method)
homology() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
homology_part() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

I

id() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
identity() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
image() (sage.groups.abelian_gps.abelian_group_morphism.AbelianGroupMorphism method)
(sage.groups.matrix_gps.morphism.MatrixGroupMorphism_im_gens method)
(sage.groups.perm_gps.permgroup_morphism.PermutationGroupMorphism method)
index2singmaster() (in module sage.groups.perm_gps.cubegroup)
index_set() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
(sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
IndexedFreeAbelianGroup (class in sage.groups.indexed_free_group)
IndexedFreeAbelianGroup.Element (class in sage.groups.indexed_free_group)
IndexedFreeGroup (class in sage.groups.indexed_free_group)
IndexedFreeGroup.Element (class in sage.groups.indexed_free_group)
IndexedGroup (class in sage.groups.indexed_free_group)
induct() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
intersection() (sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
inv_list() (in module sage.groups.perm_gps.cubegroup)
invariant_bilinear_form() (sage.groups.matrix_gps.orthogonal.OrthogonalMatrixGroup_gap method)
(sage.groups.matrix_gps.orthogonal.OrthogonalMatrixGroup_generic method)
invariant_form() (sage.groups.matrix_gps.symplectic.SymplecticMatrixGroup_gap method)
(sage.groups.matrix_gps.symplectic.SymplecticMatrixGroup_generic method)
invariant_generators() (sage.groups.matrix_gps.finitely_generated.FinitelyGeneratedMatrixGroup_gap method)
invariant_quadratic_form() (sage.groups.matrix_gps.orthogonal.OrthogonalMatrixGroup_gap method)
(sage.groups.matrix_gps.orthogonal.OrthogonalMatrixGroup_generic method)
invariants() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
inverse() (sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
(sage.groups.abelian_gps.values.AbelianGroupWithValuesElement method)
(sage.groups.affine_gps.group_element.AffineGroupElement method)
(sage.groups.group_exp.GroupExpElement method)
(sage.groups.group_semidirect_product.GroupSemidirectProductElement method)
(sage.groups.libgap_wrapper.ElementLibGAP method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
invert_v() (sage.groups.semimonomial_transformations.semimonomial_transformation.SemimonomialTransformation method)
irreducible_characters() (sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
irreducible_constituents() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
is_abelian() (sage.groups.group.AbelianGroup method)
(sage.groups.group.Group method)
(sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.CyclicPermutationGroup method)
(sage.groups.perm_gps.permgroup_named.DiCyclicGroup method)
is_AbelianGroup() (in module sage.groups.abelian_gps.abelian_group)
is_AbelianGroupElement() (in module sage.groups.abelian_gps.abelian_group_element)
is_AbelianGroupMorphism() (in module sage.groups.abelian_gps.abelian_group_morphism)
is_commutative() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.group.Group method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.CyclicPermutationGroup method)
(sage.groups.perm_gps.permgroup_named.DiCyclicGroup method)
is_confluent() (sage.groups.finitely_presented.RewritingSystem method)
is_conjugated() (sage.groups.braid.Braid method)
is_cyclic() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_DualAbelianGroup() (in module sage.groups.abelian_gps.dual_abelian_group)
is_DualAbelianGroupElement() (in module sage.groups.abelian_gps.dual_abelian_group_element)
is_elementary_abelian() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_finite() (sage.groups.group.FiniteGroup method)
(sage.groups.group.Group method)
(sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
is_FreeGroup() (in module sage.groups.free_group)
is_Group() (in module sage.groups.group)
is_GroupHomset() (in module sage.groups.group_homset)
is_irreducible() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
is_isomorphic() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_MatrixGroup() (in module sage.groups.matrix_gps.matrix_group)
is_MatrixGroupElement() (in module sage.groups.matrix_gps.group_element)
is_MatrixGroupHomset() (in module sage.groups.matrix_gps.homset)
is_monomial() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_multiplicative() (sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.group.Group method)
is_nilpotent() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_normal() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup.PermutationGroup_subgroup method)
is_one() (sage.groups.libgap_wrapper.ElementLibGAP method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_generic method)
is_perfect() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_periodic() (sage.groups.braid.Braid method)
is_PermutationGroupElement() (in module sage.groups.perm_gps.permgroup_element)
is_PermutationGroupMorphism() (in module sage.groups.perm_gps.permgroup_morphism)
is_pgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_polycyclic() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_primitive() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_pseudoanosov() (sage.groups.braid.Braid method)
is_rational() (sage.groups.conjugacy_classes.ConjugacyClass method)
is_real() (sage.groups.conjugacy_classes.ConjugacyClass method)
is_reducible() (sage.groups.braid.Braid method)
is_regular() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_semi_regular() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_simple() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_solvable() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_subgroup() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.libgap_wrapper.ParentLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_supersolvable() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_transitive() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_trivial() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
isomorphism_to() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
isomorphism_type_info_simple_group() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

J

JankoGroup (class in sage.groups.perm_gps.permgroup_named)
jones_polynomial() (sage.groups.braid.Braid method)

K

kernel() (sage.groups.abelian_gps.abelian_group_morphism.AbelianGroupMorphism method)
(sage.groups.matrix_gps.morphism.MatrixGroupMorphism_im_gens method)
(sage.groups.perm_gps.permgroup_morphism.PermutationGroupMorphism method)
KleinFourGroup (class in sage.groups.perm_gps.permgroup_named)
KleinFourPresentation() (in module sage.groups.finitely_presented_named)

L

L() (sage.groups.perm_gps.cubegroup.CubeGroup method)
largest_moved_point() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
lcm() (sage.groups.braid.Braid method)
left_normal_form() (sage.groups.braid.Braid method)
legal() (sage.groups.perm_gps.cubegroup.CubeGroup method)
length() (sage.groups.indexed_free_group.IndexedFreeGroup.Element method)
linear() (sage.groups.affine_gps.affine_group.AffineGroup method)
linear_relation() (in module sage.groups.generic)
linear_space() (sage.groups.affine_gps.affine_group.AffineGroup method)
LinearMatrixGroup_gap (class in sage.groups.matrix_gps.linear)
LinearMatrixGroup_generic (class in sage.groups.matrix_gps.linear)
list() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
(sage.groups.affine_gps.group_element.AffineGroupElement method)
(sage.groups.conjugacy_classes.ConjugacyClass method)
(sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_gap method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_generic method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
LKB_matrix() (sage.groups.braid.Braid method)
load_hap() (in module sage.groups.perm_gps.permgroup)
lower_central_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

M

major_index() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
make_confluent() (sage.groups.finitely_presented.RewritingSystem method)
make_permgroup_element() (in module sage.groups.perm_gps.permgroup_element)
make_permgroup_element_v2() (in module sage.groups.perm_gps.permgroup_element)
mapping_class_action() (sage.groups.braid.BraidGroup_class method)
MappingClassGroupAction (class in sage.groups.braid)
markov_trace() (sage.groups.braid.Braid method)
MathieuGroup (class in sage.groups.perm_gps.permgroup_named)
matrix() (sage.groups.affine_gps.group_element.AffineGroupElement method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_gap method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
matrix_degree() (sage.groups.perm_gps.permgroup_named.PermutationGroup_plg method)
matrix_space() (sage.groups.affine_gps.affine_group.AffineGroup method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_generic method)
MatrixGroup() (in module sage.groups.matrix_gps.finitely_generated)
MatrixGroup_base (class in sage.groups.matrix_gps.matrix_group)
MatrixGroup_gap (class in sage.groups.matrix_gps.matrix_group)
MatrixGroup_generic (class in sage.groups.matrix_gps.matrix_group)
MatrixGroupElement_gap (class in sage.groups.matrix_gps.group_element)
MatrixGroupElement_generic (class in sage.groups.matrix_gps.group_element)
MatrixGroupHomset (class in sage.groups.matrix_gps.homset)
MatrixGroupMap (class in sage.groups.matrix_gps.morphism)
MatrixGroupMorphism (class in sage.groups.matrix_gps.morphism)
MatrixGroupMorphism_im_gens (class in sage.groups.matrix_gps.morphism)
merge_points() (in module sage.groups.generic)
minimal_generating_set() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
module_composition_factors() (sage.groups.matrix_gps.finitely_generated.FinitelyGeneratedMatrixGroup_gap method)
molien_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
move() (sage.groups.perm_gps.cubegroup.CubeGroup method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
multiple() (in module sage.groups.generic)
multiples (class in sage.groups.generic)
multiplicative_order() (sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)

N

NamedMatrixGroup_gap (class in sage.groups.matrix_gps.named_group)
NamedMatrixGroup_generic (class in sage.groups.matrix_gps.named_group)
natural_map() (sage.groups.group_homset.GroupHomset_generic method)
next() (sage.groups.generic.multiples method)
ngens() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.libgap_wrapper.ParentLibGAP method)
(sage.groups.matrix_gps.finitely_generated.FinitelyGeneratedMatrixGroup_generic method)
(sage.groups.raag.RightAngledArtinGroup method)
non_fixed_points() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
norm() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
normal_subgroups() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
normalize_args_e() (in module sage.groups.matrix_gps.orthogonal)
normalize_args_vectorspace() (in module sage.groups.matrix_gps.named_group)
normalize_square_matrices() (in module sage.groups.matrix_gps.finitely_generated)
normalizer() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
normalizes() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

O

one() (sage.groups.group_exp.GroupExp_Class method)
(sage.groups.group_semidirect_product.GroupSemidirectProduct method)
(sage.groups.indexed_free_group.IndexedFreeAbelianGroup method)
(sage.groups.indexed_free_group.IndexedFreeGroup method)
(sage.groups.libgap_wrapper.ParentLibGAP method)
(sage.groups.raag.RightAngledArtinGroup method)
one_element() (sage.groups.raag.RightAngledArtinGroup method)
opposite_semidirect_product() (sage.groups.group_semidirect_product.GroupSemidirectProduct method)
orbit() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
orbits() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
order() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.braid.BraidGroup_class method)
(sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.group.Group method)
(sage.groups.indexed_free_group.IndexedGroup method)
(sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.matrix_gps.binary_dihedral.BinaryDihedralGroup method)
(sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_gap method)
(sage.groups.pari_group.PariGroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
(sage.groups.raag.RightAngledArtinGroup method)
(sage.groups.semimonomial_transformations.semimonomial_transformation_group.SemimonomialTransformationGroup method)
order_from_bounds() (in module sage.groups.generic)
order_from_multiple() (in module sage.groups.generic)
OrthogonalMatrixGroup_gap (class in sage.groups.matrix_gps.orthogonal)
OrthogonalMatrixGroup_generic (class in sage.groups.matrix_gps.orthogonal)

P

ParentLibGAP (class in sage.groups.libgap_wrapper)
PariGroup (class in sage.groups.pari_group)
parse() (sage.groups.perm_gps.cubegroup.CubeGroup method)
partition() (sage.groups.perm_gps.symgp_conjugacy_class.SymmetricGroupConjugacyClassMixin method)
permutation() (sage.groups.braid.Braid method)
permutation_group() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method)
(sage.groups.pari_group.PariGroup method)
PermutationGroup() (in module sage.groups.perm_gps.permgroup)
PermutationGroup_generic (class in sage.groups.perm_gps.permgroup)
PermutationGroup_plg (class in sage.groups.perm_gps.permgroup_named)
PermutationGroup_pug (class in sage.groups.perm_gps.permgroup_named)
PermutationGroup_subgroup (class in sage.groups.perm_gps.permgroup)
PermutationGroup_symalt (class in sage.groups.perm_gps.permgroup_named)
PermutationGroup_unique (class in sage.groups.perm_gps.permgroup_named)
PermutationGroupElement (class in sage.groups.perm_gps.permgroup_element)
PermutationGroupMorphism (class in sage.groups.perm_gps.permgroup_morphism)
PermutationGroupMorphism_from_gap (class in sage.groups.perm_gps.permgroup_morphism)
PermutationGroupMorphism_id (class in sage.groups.perm_gps.permgroup_morphism)
PermutationGroupMorphism_im_gens (class in sage.groups.perm_gps.permgroup_morphism)
PermutationsConjugacyClass (class in sage.groups.perm_gps.symgp_conjugacy_class)
PGL (class in sage.groups.perm_gps.permgroup_named)
PGU (class in sage.groups.perm_gps.permgroup_named)
plot() (sage.groups.braid.Braid method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
plot3d() (sage.groups.braid.Braid method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
plot3d_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method)
plot3d_cubie() (in module sage.groups.perm_gps.cubegroup)
plot_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method)
poincare_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
polygon_plot3d() (in module sage.groups.perm_gps.cubegroup)
positive_roots() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
PrimitiveGroup (class in sage.groups.perm_gps.permgroup_named)
PrimitiveGroups() (in module sage.groups.perm_gps.permgroup_named)
PrimitiveGroupsAll (class in sage.groups.perm_gps.permgroup_named)
PrimitiveGroupsOfDegree (class in sage.groups.perm_gps.permgroup_named)
product() (sage.groups.group_exp.GroupExp_Class method)
(sage.groups.group_semidirect_product.GroupSemidirectProduct method)
PSL (class in sage.groups.perm_gps.permgroup_named)
PSp (class in sage.groups.perm_gps.permgroup_named)
PSP (in module sage.groups.perm_gps.permgroup_named)
PSU (class in sage.groups.perm_gps.permgroup_named)
pushforward() (sage.groups.matrix_gps.morphism.MatrixGroupMorphism_im_gens method)

Q

QuaternionGroup (class in sage.groups.perm_gps.permgroup_named)
QuaternionMatrixGroupGF3() (in module sage.groups.matrix_gps.finitely_generated)
QuaternionPresentation() (in module sage.groups.finitely_presented_named)
quotient() (sage.groups.free_group.FreeGroup_class method)
(sage.groups.group.Group method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

R

R() (sage.groups.perm_gps.cubegroup.CubeGroup method)
ramification_module_decomposition_hurwitz_curve() (sage.groups.perm_gps.permgroup_named.PSL method)
ramification_module_decomposition_modular_curve() (sage.groups.perm_gps.permgroup_named.PSL method)
random_element() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.affine_gps.affine_group.AffineGroup method)
(sage.groups.affine_gps.euclidean_group.EuclideanGroup method)
(sage.groups.libgap_mixin.GroupMixinLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
rank() (sage.groups.free_group.FreeGroup_class method)
(sage.groups.indexed_free_group.IndexedGroup method)
reduce() (sage.groups.finitely_presented.RewritingSystem method)
reflection() (sage.groups.affine_gps.affine_group.AffineGroup method)
reflections() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
(sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
relations() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
repr2d() (sage.groups.perm_gps.cubegroup.CubeGroup method)
representative() (sage.groups.conjugacy_classes.ConjugacyClass method)
representative_action() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
restrict() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
rewriting_system() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
RewritingSystem (class in sage.groups.finitely_presented)
right_normal_form() (sage.groups.braid.Braid method)
RightAngledArtinGroup (class in sage.groups.raag)
RightAngledArtinGroup.Element (class in sage.groups.raag)
rigidity() (sage.groups.braid.Braid method)
roots() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
rotation_list() (in module sage.groups.perm_gps.cubegroup)
RubiksCube (class in sage.groups.perm_gps.cubegroup)
rules() (sage.groups.finitely_presented.RewritingSystem method)

S

sage.groups.abelian_gps.abelian_group (module)
sage.groups.abelian_gps.abelian_group_element (module)
sage.groups.abelian_gps.abelian_group_morphism (module)
sage.groups.abelian_gps.dual_abelian_group (module)
sage.groups.abelian_gps.dual_abelian_group_element (module)
sage.groups.abelian_gps.element_base (module)
sage.groups.abelian_gps.values (module)
sage.groups.additive_abelian.additive_abelian_group (module)
sage.groups.additive_abelian.additive_abelian_wrapper (module)
sage.groups.affine_gps.affine_group (module)
sage.groups.affine_gps.euclidean_group (module)
sage.groups.affine_gps.group_element (module)
sage.groups.braid (module)
sage.groups.class_function (module)
sage.groups.conjugacy_classes (module)
sage.groups.finitely_presented (module)
sage.groups.finitely_presented_named (module)
sage.groups.free_group (module)
sage.groups.generic (module)
sage.groups.group (module)
sage.groups.group_exp (module)
sage.groups.group_homset (module)
sage.groups.group_semidirect_product (module)
sage.groups.groups_catalog (module)
sage.groups.indexed_free_group (module)
sage.groups.libgap_group (module)
sage.groups.libgap_mixin (module)
sage.groups.libgap_wrapper (module)
sage.groups.matrix_gps.binary_dihedral (module)
sage.groups.matrix_gps.catalog (module)
sage.groups.matrix_gps.coxeter_group (module)
sage.groups.matrix_gps.finitely_generated (module)
sage.groups.matrix_gps.group_element (module)
sage.groups.matrix_gps.homset (module)
sage.groups.matrix_gps.linear (module)
sage.groups.matrix_gps.matrix_group (module)
sage.groups.matrix_gps.morphism (module)
sage.groups.matrix_gps.named_group (module)
sage.groups.matrix_gps.orthogonal (module)
sage.groups.matrix_gps.symplectic (module)
sage.groups.matrix_gps.unitary (module)
sage.groups.misc_gps.misc_groups (module)
sage.groups.pari_group (module)
sage.groups.perm_gps.cubegroup (module)
sage.groups.perm_gps.partn_ref (module)
sage.groups.perm_gps.partn_ref2 (module)
sage.groups.perm_gps.permgroup (module)
sage.groups.perm_gps.permgroup_element (module)
sage.groups.perm_gps.permgroup_morphism (module)
sage.groups.perm_gps.permgroup_named (module)
sage.groups.perm_gps.permutation_groups_catalog (module)
sage.groups.perm_gps.symgp_conjugacy_class (module)
sage.groups.raag (module)
sage.groups.semimonomial_transformations.semimonomial_transformation (module)
sage.groups.semimonomial_transformations.semimonomial_transformation_group (module)
scalar_product() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
scramble() (sage.groups.perm_gps.cubegroup.RubiksCube method)
SemidihedralGroup (class in sage.groups.perm_gps.permgroup_named)
semidirect_product() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
SemimonomialActionMat (class in sage.groups.semimonomial_transformations.semimonomial_transformation_group)
SemimonomialActionVec (class in sage.groups.semimonomial_transformations.semimonomial_transformation_group)
SemimonomialTransformation (class in sage.groups.semimonomial_transformations.semimonomial_transformation)
SemimonomialTransformationGroup (class in sage.groups.semimonomial_transformations.semimonomial_transformation_group)
set() (sage.groups.conjugacy_classes.ConjugacyClass method)
(sage.groups.conjugacy_classes.ConjugacyClassGAP method)
(sage.groups.perm_gps.symgp_conjugacy_class.PermutationsConjugacyClass method)
(sage.groups.perm_gps.symgp_conjugacy_class.SymmetricGroupConjugacyClass method)
short_name() (sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
show() (sage.groups.perm_gps.cubegroup.RubiksCube method)
show3d() (sage.groups.perm_gps.cubegroup.RubiksCube method)
sign() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
simple_reflection() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
(sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
simple_root_index() (sage.groups.matrix_gps.coxeter_group.CoxeterMatrixGroup method)
simplification_isomorphism() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
simplified() (sage.groups.finitely_presented.FinitelyPresentedGroup method)
SL() (in module sage.groups.matrix_gps.linear)
sliding_circuits() (sage.groups.braid.Braid method)
smallest_moved_point() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
SO() (in module sage.groups.matrix_gps.orthogonal)
socle() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
solvable_radical() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
solve() (sage.groups.perm_gps.cubegroup.CubeGroup method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
some_elements() (sage.groups.braid.BraidGroup_class method)
Sp() (in module sage.groups.matrix_gps.symplectic)
SplitMetacyclicGroup (class in sage.groups.perm_gps.permgroup_named)
stabilizer() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
standardize_generator() (in module sage.groups.perm_gps.permgroup_element)
strands() (sage.groups.braid.Braid method)
(sage.groups.braid.BraidGroup_class method)
string_to_tuples() (in module sage.groups.perm_gps.permgroup_element)
strong_generating_system() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
structure_description() (in module sage.groups.generic)
(sage.groups.finitely_presented.FinitelyPresentedGroup method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
SU() (in module sage.groups.matrix_gps.unitary)
subgroup() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.libgap_wrapper.ParentLibGAP method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
subgroup_reduced() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
subgroups() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
super_summit_set() (sage.groups.braid.Braid method)
SuzukiGroup (class in sage.groups.perm_gps.permgroup_named)
SuzukiSporadicGroup (class in sage.groups.perm_gps.permgroup_named)
syllables() (sage.groups.free_group.FreeGroupElement method)
sylow_subgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
symmetric_power() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
SymmetricGroup (class in sage.groups.perm_gps.permgroup_named)
SymmetricGroupConjugacyClass (class in sage.groups.perm_gps.symgp_conjugacy_class)
SymmetricGroupConjugacyClassMixin (class in sage.groups.perm_gps.symgp_conjugacy_class)
SymmetricGroupElement (class in sage.groups.perm_gps.permgroup_element)
SymmetricPresentation() (in module sage.groups.finitely_presented_named)
SymplecticMatrixGroup_gap (class in sage.groups.matrix_gps.symplectic)
SymplecticMatrixGroup_generic (class in sage.groups.matrix_gps.symplectic)

T

tensor_product() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
thurston_type() (sage.groups.braid.Braid method)
Tietze() (sage.groups.finitely_presented.FinitelyPresentedGroupElement method)
(sage.groups.free_group.FreeGroupElement method)
TL_basis_with_drain() (sage.groups.braid.BraidGroup_class method)
TL_matrix() (sage.groups.braid.Braid method)
TL_representation() (sage.groups.braid.BraidGroup_class method)
to_libgap() (in module sage.groups.matrix_gps.morphism)
to_opposite() (sage.groups.group_semidirect_product.GroupSemidirectProductElement method)
to_word_list() (sage.groups.indexed_free_group.IndexedFreeGroup.Element method)
TransitiveGroup (class in sage.groups.perm_gps.permgroup_named)
TransitiveGroups() (in module sage.groups.perm_gps.permgroup_named)
TransitiveGroupsAll (class in sage.groups.perm_gps.permgroup_named)
TransitiveGroupsOfDegree (class in sage.groups.perm_gps.permgroup_named)
translation() (sage.groups.affine_gps.affine_group.AffineGroup method)
transversals() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
trivial_character() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
tropical_coordinates() (sage.groups.braid.Braid method)
tuple() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)

U

U() (sage.groups.perm_gps.cubegroup.CubeGroup method)
ultra_summit_set() (sage.groups.braid.Braid method)
undo() (sage.groups.perm_gps.cubegroup.RubiksCube method)
UnitaryMatrixGroup_gap (class in sage.groups.matrix_gps.unitary)
UnitaryMatrixGroup_generic (class in sage.groups.matrix_gps.unitary)
universe() (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper method)
UnwrappingMorphism (class in sage.groups.additive_abelian.additive_abelian_wrapper)
upper_central_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

V

value() (sage.groups.abelian_gps.values.AbelianGroupWithValuesElement method)
values() (sage.groups.class_function.ClassFunction_gap method)
(sage.groups.class_function.ClassFunction_libgap method)
values_embedding() (sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)
values_group() (sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)
vector_space() (sage.groups.affine_gps.affine_group.AffineGroup method)

W

word_problem() (in module sage.groups.abelian_gps.abelian_group)
(sage.groups.abelian_gps.abelian_group_element.AbelianGroupElement method)
(sage.groups.abelian_gps.dual_abelian_group_element.DualAbelianGroupElement method)
(sage.groups.matrix_gps.group_element.MatrixGroupElement_gap method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
wrap_FpGroup() (in module sage.groups.finitely_presented)
wrap_FreeGroup() (in module sage.groups.free_group)

X

xproj() (in module sage.groups.perm_gps.cubegroup)

Y

young_subgroup() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
yproj() (in module sage.groups.perm_gps.cubegroup)