Generation of finite quasisimple groups with an application to groups acting on Beauville surfaces

DOI10.1112/plms/pds097zbMath1286.20013arXiv1010.3500OpenAlexW2018318701MaRDI QIDQ2856115

Kay Magaard, Christopher Parker, Ben T. Fairbairn

Publication date: 23 October 2013

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3500

zbMATH Keywords

finite classical groupsfinite quasisimple groupsBeauville surfacesBeauville groupshyperbolic triples

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Compact Riemann surfaces and uniformization (30F10) Families, moduli, classification: algebraic theory (14J10) Surfaces of general type (14J29) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (9)

Primitive permutation groups and derangements of prime power order. ⋮ Series of \(p\)-groups with Beauville structure ⋮ Coxeter groups as Beauville groups ⋮ Kodaira fibrations and beyond: methods for moduli theory ⋮ Metabelian thin Beauville \(p\)-groups ⋮ Beauville structures in finite \(p\)-groups ⋮ Beauville structures in \(p\)-central quotients ⋮ Beauville Surfaces, Moduli Spaces and Finite Groups ⋮ Ramification structures for quotients of the Grigorchuk groups

Uses Software

• GAP
• Magma
• ATLAS Group Representations

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