Coprime commutators in PSL(2,q)
Group Theory
2012-10-01 v1
Abstract
We show that every element of PSL(2,q) is a commutator of elements of coprime orders. This is proved by showing first that in PSL(2,q) any two involutions are conjugate by an element of odd order.
Cite
@article{arxiv.1209.6377,
title = {Coprime commutators in PSL(2,q)},
author = {Marco Antonio Pellegrini and Pavel Shumyatsky},
journal= {arXiv preprint arXiv:1209.6377},
year = {2012}
}