Large localizations of finite groups
Group Theory
2008-10-10 v1
Abstract
We construct examples of localizations in the category of groups which take the Mathieu group to groups of arbitrarily large cardinality which are ``abelian up to finitely many generators''. The paper is part of a broader study on the group theoretic properties which are or are not preserved by localizations.
Cite
@article{arxiv.0810.1632,
title = {Large localizations of finite groups},
author = {Adam J. Przezdziecki},
journal= {arXiv preprint arXiv:0810.1632},
year = {2008}
}
Comments
15 pages, to appear in J. Algebra