Ivan Shishkin, Birch Grove

Permutation

Definition / General algebra / Usable

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Usable. This concept is clear enough to use, but has not yet been reviewed by another trusted user.

A permutation of a set XX is a bijection σ:X→X\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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A beautiful identity between polynomials
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