English

Images of word maps in almost simple groups and quasisimple groups

Group Theory 2013-02-04 v2

Abstract

It has been shown by Lubotzky in [10] that the set of verbal images of a fixed non-abelian finite simple group G is precisely the set of endomorphism invariant subsets of G. Here we use his result to determine the verbal images of certain almost simple groups and quasisimple groups.

Keywords

Cite

@article{arxiv.1301.7188,
  title  = {Images of word maps in almost simple groups and quasisimple groups},
  author = {Matthew Levy},
  journal= {arXiv preprint arXiv:1301.7188},
  year   = {2013}
}