Abstract: It is known that, when n is even, the number of permutations of {1,2,...,n} all of whose cycles have odd length equals the number of those all of whose cycles have even length. Adin, Hegedüs ...
A new proof from the Australian science fiction writer Greg Egan and a 2011 proof anonymously posted online are now being hailed as significant advances on a puzzle mathematicians have been studying ...
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