Characteristically simple Beauville groups, II: low rank and sporadic groups
Group Theory
2013-04-22 v1 Algebraic Geometry
Abstract
A Beauville surface is a rigid complex surface of general type, isogenous to a higher product by the free action of a finite group, called a Beauville group. Here we consider which characteristically simple groups can be Beauville groups. We show that if G is a cartesian power of a simple group L_2(q), L_3(q), U_3(q), Sz(2^e), R(3^e), or of a sporadic simple group, then G is a Beauville group if and only if it has two generators and is not isomorphic to A_5.
Keywords
Cite
@article{arxiv.1304.5450,
title = {Characteristically simple Beauville groups, II: low rank and sporadic groups},
author = {Gareth A. Jones},
journal= {arXiv preprint arXiv:1304.5450},
year = {2013}
}
Comments
23 pages