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Remarks on Lifting Beauville Structures of Quasisimple Groups

  • Kay  MagaardEmail author
  • Christopher  Parker
Conference paper
  • 498 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 123)

Abstract

In previous work, we developed theorems which produce a multitude of hyperbolic triples for finite classical groups. We apply these theorems to prove a conjecture of Bauer, Catanese and Grunewald, which asserts that all non-abelian finite quasisimple groups except for the alternating group of degree five are Beauville groups. Here we show that our results can be used to show that certain split- and Frattini extensions of quasisimple groups are also Beauville groups. We also discuss some open problems for future investigations.

2000 Mathematics Subject Classification.

20E34 20F05 14J29 30F10 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.School of MathematicsUniversity of BirminghamEdgbastonUK

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