PermutationSupport

PermutationSupport[perm]

returns the support of the permutation perm.

Details

  • The support of a permutation perm is the list of integers that are not fixed by perm.
  • The list of integers is returned sorted.
  • PermutationSupport works with Cycles objects as well as with permutation lists. When applied to a permutation list, PermutationSupport[{p1,,pn}] returns the pi for which pii.

Examples

open allclose all

Basic Examples  (2)

Points moved by a permutation in disjoint cyclic form:

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Points moved in a permutation list:

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Scope  (2)

Generalizations & Extensions  (1)

Properties & Relations  (2)

See Also

Cycles  PermutationMax  PermutationMin  PermutationLength

Tutorials

Introduced in 2010
(8.0)