: Mathématiques: permutation group

mathematical analysis > combinatorics > permutation > symmetric group > permutation group

algebra > combinatorics > permutation > symmetric group > permutation group

algebra > group theory > finite group > permutation group

permutation group

In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself). The group of all permutations of a set M is the symmetric group of M, often written as Sym(M). The term permutation group thus means a subgroup of the symmetric group. If M = {1, 2, ..., n} then Sym(M) is usually denoted by Sn, and may be called the symmetric group on n letters.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Permutation_group)

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