Generation of finite simple groups with an application to groups acting on Beauville surfaces

Details Generation of finite simple groups with an application to groups acting on Beauville surfaces Generation of finite simple groups with an application to groups acting on Beauville surfaces

2010-10-18

arxiv.org/abs/1010.3500v1

Mathematics

Group Theory

Scientific paper

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 $\Alt(5)$ are Beauville groups.

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