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

# PermutationPower

 PermutationPower gives the n permutation power of the permutation perm.
• PermutationPower effectively computes the product of a permutation perm with itself n times.
• When n is negative, PermutationPower finds powers of the inverse of the permutation perm.
Sixth power of a permutation:
Second power of the inverse permutation:
PermutationPower can yield the identity permutation:
Sixth power of a permutation:
 Out[1]=

Second power of the inverse permutation:
 Out[1]=

PermutationPower can yield the identity permutation:
 Out[1]=
 Scope   (1)
Compute arbitrary powers of a permutation:
PermutationPower does not evaluate for symbolic arguments:
PermutationPower performs some simplifications for generic symbolic input:
For exponents that are multiples of the order of the permutation, the permutation power yields identity:
Hence large powers can be reduced by using the modulo of the exponent:
New in 8