matrix w
Every permutation $p$ on $n$ symbols can be written as an $n \times n$ matrix. Its matrix representation has a $1$ in entry $(i,j)$ if $p(i) = j$ and $0$ otherwise.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Permutations/Documentation/mainDocs.m2:518:0.