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Coxeter groups as Beauville groups

2015/08/11 by Ben Fairbairn, Fairbairn, Ben
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.1508.02630

14 pages, 2 figures, 6 tables - all comments welcome! Second version corrects statement of main theorem (removings E7 from the list of exceptions) and discusses the general case in more detail

arxiv created 2016/04/21 · arxiv updated 2016/04/22

Abstract

We generalize earlier work of Fuertes and González-Diez as well as earlier work of Bauer, Catanese and Grunewald to Coxeter groups in general by classifying which of these are strongly real Beauville groups. As a consequence of this we determine which of these groups are Beauville groups. We also show that none of these groups are mixed Beaville groups as well as proving that no Coxeter group is a mixable Beauville group.

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