The group $J_4 \times J_4$ is recognizable by spectrum
Group Theory
2019-11-26 v2
Abstract
The spectrum of a finite group is the set of its element orders. In this paper we prove that the direct product of two copies of the finite simple sporadic group is uniquely determined by its spectrum in the class of all finite groups.
Cite
@article{arxiv.1905.06258,
title = {The group $J_4 \times J_4$ is recognizable by spectrum},
author = {I. B. Gorshkov and N. V. Maslova},
journal= {arXiv preprint arXiv:1905.06258},
year = {2019}
}
Comments
13 pages