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(c) Marian Olejar, Jr., 2005-2007
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complete factorization of permutation
Author: Marian Olejar, Jr. Created: Dec/08/2006 Last edit: Dec/10/2006
group theory:
A complete factorization of a permutation `alpha` is a factorization of `alpha` into disjoint cycles that contains exactly one 1-cycle (i) for every i fixed by `alpha`. Example: The complete factorization of the 4-cycle permutation `beta` = (1 3 5 7) in `S_7` is `beta` = (1 3 5 7)(2)(4)(6). See also: permutations with same cycle structure, Cite this article as: Marian Olejar, Jr.: complete factorization of permutation from VeryPrime's Dictionary of mathematics Link to this page: http://www.veryprime.com/dict/complete_factorization_of_permutation.php |