transpositions
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2 matching pages
1: 26.13 Permutations: Cycle Notation
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►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.
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►Every transposition is the product of adjacent transpositions.
…Every permutation is a product of adjacent transpositions.
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2: 34.7 Basic Properties: Symbol
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►The symbol has symmetry properties with respect to permutation of columns, permutation of rows, and transposition of rows and columns; these relate 72 independent symbols.
Even (cyclic) permutations of either columns or rows, as well as transpositions, leave the symbol unchanged.
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