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GroupGenerators

GroupGenerators[group]
returns a list of generators of group.
  • The type of generators will depend on the representation type of the group.
  • For a named abstract group, the generators of a default representation are returned.
Generators of a permutation group:
A symmetric group is generated by default with two permutations, a transposition, and a shift:
Generators of a permutation group:
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A symmetric group is generated by default with two permutations, a transposition, and a shift:
In[1]:=
Click for copyable input
Out[1]=
Generators for a group defined by generators:
Generators for a named group, using a default representation:
Support lengths of the default permutation generators of a sporadic simple group:
New in 8