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1: 26.13 Permutations: Cycle Notation
A 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: 9 j Symbol
The 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 9 j symbols. Even (cyclic) permutations of either columns or rows, as well as transpositions, leave the 9 j symbol unchanged. …