Generation of finite simple groups with an application to groups acting on Beauville surfaces
Group Theory
2010-10-19 v1 Algebraic Geometry
Abstract
We develop theorems which produce a multitude of hyperbolic triples for the finite classical groups. We apply these theorems to prove that every quasisimple group except Alt(5) and SL_2(5) is a Beauville group. In particular, we settle a conjecture of Bauer, Catanese and Grunewald which asserts that all non-abelian finite simple groups except for the alternating group are Beauville groups.
Keywords
Cite
@article{arxiv.1010.3500,
title = {Generation of finite simple groups with an application to groups acting on Beauville surfaces},
author = {Ben Fairbairn and Kay Magaard and Christopher Parker},
journal= {arXiv preprint arXiv:1010.3500},
year = {2010}
}