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. © 2013 Springer-Verlag Berlin Heidelberg.
New Beauville surfaces and finite simple groups
Penegini M.
2013-01-01
Abstract
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. © 2013 Springer-Verlag Berlin Heidelberg.File in questo prodotto:
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