English

Strongly Real Beauville Groups

Group Theory 2014-05-30 v1 Algebraic Geometry

Abstract

A strongly real Beauville group is a Beauville group that defines a real Beauville surface. Here we discuss efforts to find examples of these groups, emphasising on the one extreme finite simple groups and on the other abelian and nilpotent groups. We will also discuss the case of characteristically simple groups and almost simple groups. \emph{En route} we shall discuss several questions, open problems and conjectures as well as giving several new examples of infinite families of strongly real Beauville groups.

Keywords

Cite

@article{arxiv.1405.7541,
  title  = {Strongly Real Beauville Groups},
  author = {Ben Fairbairn},
  journal= {arXiv preprint arXiv:1405.7541},
  year   = {2014}
}

Comments

17 pages, to appear in the proceedings of the conference Beauville Surfaces and Groups held in Newcastle University, June 2012

R2 v1 2026-06-22T04:26:01.354Z