Non-simple localizations of finite simple groups
Algebraic Topology
2018-04-16 v1 Group Theory
Abstract
Often a localization functor (in the category of groups) sends a finite simple group to another finite simple group. We study when such a localization also induces a localization between the automorphism groups and between the universal central extensions. As a consequence we exhibit many examples of localizations of finite simple groups which are not simple.
Keywords
Cite
@article{arxiv.math/0210405,
title = {Non-simple localizations of finite simple groups},
author = {José L. Rodríguez and Jérôme Scherer and Antonio Viruel},
journal= {arXiv preprint arXiv:math/0210405},
year = {2018}
}
Comments
10 pages