# transpositions

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## 2 matching pages

##### 1: 26.13 Permutations: Cycle Notation

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*transposition*is a permutation that consists of a single cycle of length two. An*adjacent transposition*is a transposition of two consecutive integers. …Every permutation is a product of transpositions. … ►Every transposition is the product of adjacent transpositions. …Every permutation is a product of adjacent transpositions. …##### 2: 34.7 Basic Properties: $\mathit{9}j$ Symbol

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►The $\mathit{9}j$ symbol has symmetry properties with respect to permutation of columns, permutation of rows, and transposition of rows and columns; these relate 72 independent $\mathit{9}j$ symbols.
Even (cyclic) permutations of either columns or rows, as well as transpositions, leave the $\mathit{9}j$ symbol unchanged.
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