This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.

# InversePermutation

 InversePermutation[perm] returns the inverse of permutation perm.
• 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.
Inverse of a permutation:
Their product gives the identity permutation:
Some permutations, called involutions, are their own inverse:
Inverse of a permutation:
 Out[1]=
Their product gives the identity permutation:
 Out[2]=

Some permutations, called involutions, are their own inverse:
 Out[1]=
 Scope   (1)
Invert a permutation:
On symbolic expressions other than permutations the result is given in terms of PermutationPower:
InversePermutation is equivalent to PermutationPower with exponent :
Inverting a permutation is equivalent to reversing its cycles:
For a permutation of finite degree, its inverse can always be obtained as the power with a positive integer:
Ordering gives the inverse of a permutation list:
New in 8