Finite groups isospectral to simple groups
Group Theory
2024-06-06 v3
Abstract
The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.
Cite
@article{arxiv.2111.15198,
title = {Finite groups isospectral to simple groups},
author = {Maria A. Grechkoseeva and Victor D. Mazurov and Wujie Shi and Andrey V. Vasil'ev and Nanying Yang},
journal= {arXiv preprint arXiv:2111.15198},
year = {2024}
}
Comments
Numbering of theorems, lemmas and other assertions has been changed to match that of the version published in Commun. Math. Stat