Beauville surfaces and finite simple groups

DOI10.1515/CRELLE.2011.117zbMath1255.20008arXiv1005.2316OpenAlexW2045958976MaRDI QIDQ2890366

Alexander Lubotzky, Shelly Garion, Michael J. Larsen

Publication date: 8 June 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2316

zbMATH Keywords

conjugacy classesfinite simple groupssimple algebraic groupsBeauville surfaces

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Ordinary representations and characters (20C15) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Coverings of curves, fundamental group (14H30) Surfaces of general type (14J29) Finite simple groups and their classification (20D05) Probabilistic methods in group theory (20P05)

Related Items

Linear groups with Borel's property ⋮ Coxeter groups as Beauville groups ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ New Beauville surfaces and finite simple groups ⋮ Character estimates for finite simple groups and applications ⋮ New examples of Beauville surfaces ⋮ Fibers of word maps and some applications. ⋮ Beauville surfaces and finite groups ⋮ Beauville structures in finite \(p\)-groups ⋮ Beauville structures in \(p\)-central quotients ⋮ Probabilistic Waring problems for finite simple groups ⋮ Products of conjugacy classes and fixed point spaces ⋮ Strongly Real Beauville Groups ⋮ Beauville Surfaces and Probabilistic Group Theory

Uses Software

• Magma

Cites Work

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• The maximal subgroups of \({}^ 2F_ 4(q^ 2)\)
• On conjugacy classes of maximal subgroups of finite simple groups, and a related zeta function.
• Chebycheff and Belyi polynomials, dessins dénfants, Beauville surfaces and group theory
• On triangle generation of finite groups of Lie type
• An update on Hurwitz groups
• Commutators in Finite Simple Groups of Lie Type
• Character degrees and random walks in finite groups of Lie type