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Characteristically Simple Beauville Groups, II: Low Rank and Sporadic Groups

  • Gareth A. JonesEmail author
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 123)

Abstract

A Beauville surface is a rigid complex surface of general type, isogenous to a higher product by the free action of a finite group, called a Beauville group. Here we consider which characteristically simple groups can be Beauville groups. We show that if \(G\) is a cartesian power of a simple group \(L_2(q)\), \(L_3(q)\), \(U_3(q)\), \(Sz(2^e)\), \(R(3^e)\), or of a sporadic simple group, then \(G\) is a Beauville group if and only if it has two generators and is not isomorphic to \(A_5\).

MSC classification:

20B25 (primary) 14J50 20G40 20H10 (secondary) 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.School of MathematicsUniversity of SouthamptonSouthamptonUK

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