PermutationOrder

PermutationOrder[perm]

gives the order of permutation perm.

Details

  • The order of a permutation perm is the smallest positive integer m so that the product of perm with itself m times yields the identity permutation.
  • The only permutation with order 1 is the identity permutation.

Examples

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Basic Examples  (1)

Find the order of a permutation:

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Scope  (1)

Applications  (1)

Properties & Relations  (6)

See Also

Cycles  PermutationPower  PermutationProduct  InversePermutation

Tutorials

Introduced in 2010
(8.0)