PermutationGroup

PermutationGroup[{perm1,,permn}]

represents the group generated by multiplication of the permutations perm1,,permn.

Details

  • The generating permutations permi must be given in disjoint cyclic form, with head Cycles.
  • Properties of a permutation group are typically computed by constructing a strong generating set representation of the group using the SchreierSims algorithm.

Examples

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Basic Examples  (1)

A permutation group defined by two generators:

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Compute its order:

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Scope  (3)

Applications  (1)

Properties & Relations  (3)

Neat Examples  (1)

See Also

Cycles  GroupOrder  GroupElements  GroupElementQ  GroupStabilizerChain

Tutorials

Introduced in 2010
(8.0)