InversePermutation

InversePermutation[perm]

returns the inverse of permutation perm.

Details

  • The product of a permutation with its inverse gives the identity permutation.
  • Every permutation has a uniquely defined inverse.
  • The support of a permutation is the same as the support of its inverse.

Examples

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Basic Examples  (2)

Inverse of a permutation:

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Their product gives the identity permutation:

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Some permutations, called involutions, are their own inverse:

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Scope  (1)

Generalizations & Extensions  (1)

Properties & Relations  (4)

See Also

PermutationProduct  PermutationPower  PermutationOrder

Tutorials

Introduced in 2010
(8.0)