Groups whose elements are not conjugate to their powers
Group Theory
2018-07-11 v1
Abstract
We call a finite group irrational if none of its elements is conjugate to a distinct power of itself. We prove that those groups are solvable and describe certain classes of these groups, where the above property is only required for -elements, for from a prescribed set of primes.
Cite
@article{arxiv.1801.05975,
title = {Groups whose elements are not conjugate to their powers},
author = {Andreas Bächle and Benjamin Sambale},
journal= {arXiv preprint arXiv:1801.05975},
year = {2018}
}
Comments
6 pages