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.
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Magaard, K., Parker, C. (2015). Remarks on Lifting Beauville Structures of Quasisimple Groups . In: Bauer, I., Garion, S., Vdovina, A. (eds) Beauville Surfaces and Groups. Springer Proceedings in Mathematics & Statistics, vol 123. Springer, Cham. https://doi.org/10.1007/978-3-319-13862-6_8
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DOI: https://doi.org/10.1007/978-3-319-13862-6_8
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