Remarks on lifting Beauville structures of quasisimple groups

Kay Magaard, Christopher Parker

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

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.

Original languageEnglish
Title of host publicationBeauville Surfaces and Groups
EditorsIngrid Bauer, Shelly Garion, Alina Vdovina
PublisherSpringer
Pages121-128
Number of pages8
ISBN (Electronic)978-3-319-13862-6
ISBN (Print)978-3-319-13861-9
DOIs
Publication statusPublished - 1 Jan 2015
EventBeauville Surfaces and Groups Conference, 2012 - Newcastle upon Tyne, United Kingdom
Duration: 7 Jun 20129 Jun 2012

Publication series

NameSpringer Proceedings in Mathematics & Statistics
PublisherSpringer
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceBeauville Surfaces and Groups Conference, 2012
Country/TerritoryUnited Kingdom
CityNewcastle upon Tyne
Period7/06/129/06/12

ASJC Scopus subject areas

  • Mathematics(all)

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