Coxeter groups as Beauville groups
Group Theory
2016-04-22 v2
Abstract
We generalize earlier work of Fuertes and Gonz\'{a}lez-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.
Keywords
Cite
@article{arxiv.1508.02630,
title = {Coxeter groups as Beauville groups},
author = {Ben Fairbairn},
journal= {arXiv preprint arXiv:1508.02630},
year = {2016}
}
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