Ivan Shishkin, Birch Grove

Concept

Permutation

Algebra / Usable / edited by Ancient Tree

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A permutation of a set XX is a bijection σ:XX\sigma:X \rightarrow X.

Remarks
  • The set of permutations of XX forms a group under composition, denoted SX\mathfrak{S}_X or S(X)S(X).
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