GroupGenerators

GroupGenerators[group]
returns a list of generators of group.

DetailsDetails

  • The type of generators will depend on the representation type of the group.
  • For an explicit permutation representation, GroupGenerators[PermutationGroup[{g1,,gn}]] returns the list .
  • For a named abstract group, the generators of a default representation are returned.

ExamplesExamplesopen allclose all

Basic Examples  (2)Basic Examples  (2)

Generators of a permutation group:

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A symmetric group is generated by default with two permutations, a transposition, and a shift:

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Introduced in 2010
(8.0)