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arXiv · 1010.3500

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

Ben Fairbairn·Kay Magaard·Christopher Parker
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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 $\Alt(5)$ are Beauville groups.

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Ben Fairbairn, Kay Magaard, Christopher Parker. 2010-10-18. Generation of finite simple groups with an application to groups acting on Beauville surfaces. https://arxiv.org/abs/1010.3500

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