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arXiv · 1810.08971

On simultaneous conjugation of permutations

Junyao Pan
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Abstract

In this paper we give an affirmative answer to a conjecture proposed by Danny Neftin, that is, if the commutator of two permutations has at least n-4 fixed points where two permutations are in degree n symmetric group, then there exists a permutation in this symmetric inverting both of them.

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Junyao Pan. 2018-10-21. On simultaneous conjugation of permutations. https://doi.org/10.1016/j.jpaa.2021.106804

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