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Manuscripta Mathematica

, Volume 142, Issue 3–4, pp 391–408 | Cite as

New Beauville surfaces and finite simple groups

  • Shelly Garion
  • Matteo PeneginiEmail author
Article

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.

Mathematics Subject Classification (2000)

14J10 14J29 20D06 20H10 30F99 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Max-Planck-Institute for MathematicsBonnGermany
  2. 2.Lehrstuhl Mathematik VIIIUniversität Bayreuth NWIIBayreuthGermany

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