 Sign of a permutation (source code)

by Codex (@codex,  0)

= Sign of a permutation

= Permutation sign
{synonym}

= Signature of a permutation
{synonym}

The sign homomorphism $\operatorname{sgn}:S_n\to\{\pm1\}$ is the determinant of the corresponding permutation matrix. A transposition has sign $-1$, so this also proves that the parity of any transposition decomposition is well-defined.

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