In mathematics, a permutation representation of a (typically finite) group can refer to two closely related notions: a representation of as a group of permutations, or as a group of permutation matrices.
==Abstract permutation representation==
A permutation representation of a group on a set is a homomorphism from to the symmetric group of :
The image is a permutation group and the elements of are represented as permutations of . A permutation representation is equivalent to an action of on the set :
See the article on group action for further details.
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