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Legacy Documentation

Mathematica 8 (2010)

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

BUILT-IN MATHEMATICA SYMBOL

PermutationSupport [perm]
returns the support of the permutation perm.

The support of a permutation perm is the list of integers that are not fixed by perm.

PermutationSupport works with Cycles objects as well as with permutation lists. When applied to a permutation list, PermutationSupport returns the for which .

(2)

Points moved by a permutation in disjoint cyclic form:

Points moved in a permutation list:

Points moved by a permutation in disjoint cyclic form:

Out[1]=

Points moved in a permutation list:

Out[1]=

(2)

Support of permutations in disjoint cyclic form:

Support of permutation lists:

(1)

The support of a permutation group is defined as the union of the supports of its elements:

Support of the default permutation representation of a named abstract group:

(1)

The permutation support of a permutation in cyclic form is the union of its cycles:

New in 8