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Mathematics > Group Theory

arXiv:1508.02630 (math)
[Submitted on 11 Aug 2015 (v1), last revised 21 Apr 2016 (this version, v2)]

Title:Coxeter groups as Beauville groups

Authors:Ben Fairbairn
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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.
Comments: 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
Subjects: Group Theory (math.GR)
Cite as: arXiv:1508.02630 [math.GR]
  (or arXiv:1508.02630v2 [math.GR] for this version)
  https://doi.org/10.48550/arXiv.1508.02630

Submission history

From: Ben Fairbairn [view email]
[v1] Tue, 11 Aug 2015 15:33:45 UTC (13 KB)
[v2] Thu, 21 Apr 2016 16:20:50 UTC (15 KB)
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