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In group theory a transposition is a permutation that exchanges two elements and leaves all others fixed.
For and , the transposition of with among is the permutation
Transpositions are generators for the symmetric group, exhibiting it as a finitely generated group.
In fact already just the adjacent transpositions for generate the symmetric group, see at Kendall tau distance.
Created on April 17, 2021 at 15:49:29. See the history of this page for a list of all contributions to it.