A characterisation of almost simple groups with socle ${}^2\E_6(2)$ or $\M(22)$
Group Theory
2011-08-10 v1
Abstract
We show that the sporadic simple group , the exceptional group of Lie type and their automorphism groups are uniquely determined by the approximate structure of the centralizer of an element of order 3 together with some information about the fusion of this element in the group.
Keywords
Cite
@article{arxiv.1108.1894,
title = {A characterisation of almost simple groups with socle ${}^2\E_6(2)$ or $\M(22)$},
author = {Chris Parker and M. Reza Salarian and Gernot Stroth},
journal= {arXiv preprint arXiv:1108.1894},
year = {2011}
}