BUILT-IN MATHEMATICA SYMBOL

PermutationGroup

PermutationGroup[{perm₁, ..., perm_n}]
represents the group generated by multiplication of the permutations .

Details Details

The generating permutations 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 Schreier-Sims algorithm.

A permutation group defined by two generators:

Out[1]=

Compute its order:

Out[2]=

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