Examples of GroupsΒΆ
The groups
object may be used to access examples of various groups.
Using tab-completion on this object is an easy way to discover and quickly
create the groups that are available (as listed here).
Let <tab>
indicate pressing the tab key. So begin by typing
groups.<tab>
to the see primary divisions, followed by (for example)
groups.matrix.<tab>
to access various groups implemented as sets of matrices.
- Permutation Groups (
groups.permutation.<tab>
)groups.permutation.Symmetric
groups.permutation.Alternating
groups.permutation.KleinFour
groups.permutation.Quaternion
groups.permutation.Cyclic
groups.permutation.Dihedral
groups.permutation.DiCyclic
groups.permutation.Mathieu
groups.permutation.Suzuki
groups.permutation.PGL
groups.permutation.PSL
groups.permutation.PSp
groups.permutation.PSU
groups.permutation.PGU
groups.permutation.Transitive
groups.permutation.RubiksCube
- Matrix Groups (
groups.matrix.<tab>
) - Finitely Presented Groups (
groups.presentation.<tab>
) - Affine Groups (
groups.affine.<tab>
) - Miscellaneous Groups (
groups.misc.<tab>
)- Coxeter, reflection and related groups
- other miscellanous groups