Characteristically simple Beauville groups, II: low rank and sporadic groups

2013/04/19 by Gareth Jones, Jones, Gareth A.
Mathematics · #14J50 #20B25 (primary) #20G40 #20H10 (secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1304.5450

openalex publication_date 2013/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 L₂(q), L₃(q), U₃(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 A₅.

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