On simultaneous conjugation of permutations
Group Theory
2021-06-17 v4 Combinatorics
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.
Keywords
Cite
@article{arxiv.1810.08971,
title = {On simultaneous conjugation of permutations},
author = {Junyao Pan},
journal= {arXiv preprint arXiv:1810.08971},
year = {2021}
}
Comments
16 pages,no figures