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Questions related to permutations, bijections from a finite (or sometimes infinite) set to itself.

3 votes
1 answer
268 views

Is the Cayley distance on permutation (matrices) equivalent to the Riemannian metric on $O(n)$?

Identifying permutations $\sigma\in S_n$ with their respective permutation matrices, it is not hard to see that these matrices are all orthogonal. … Via the above identification, this induces another metric on permutations. Are there any comparison results? …
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