New Beauville surfaces and finite simple groups

Details New Beauville surfaces and finite simple groups New Beauville surfaces and finite simple groups

2009-10-28

arxiv.org/abs/0910.5402v3

Mathematics

Group Theory

v3: 17 pages. The original article was divided into two parts. This part contains only the subsections concerning new Beauvill

Scientific paper

In this paper we construct new Beauville surfaces with group either $\PSL(2,p^e)$, or belonging to some other families of finite simple groups of Lie type of low Lie rank, or an alternating group, or a symmetric group, proving a conjecture of Bauer, Catanese and Grunewald. The proofs rely on probabilistic group theoretical results of Liebeck and Shalev, on classical results of Macbeath and on recent results of Marion.

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