Random and Deterministic Triangle Generation of Three-Dimensional Classical Groups I

DOI10.1080/00927872.2011.638350zbMath1277.20081OpenAlexW4251467466MaRDI QIDQ2839084

Claude Marion

Publication date: 4 July 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.638350

zbMATH Keywords

finite simple groupsfinite groups of Lie typehomomorphic imagesfinite classical groupstriangle groupsprojective special linear groupsrandom homomorphismsprojective special unitary groupsrandom generations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Related Items (5)

New Beauville surfaces and finite simple groups ⋮ Random and Deterministic Triangle Generation of Three-Dimensional Classical Groups I ⋮ Random and Deterministic Triangle Generation of Three-Dimensional Classical Groups II ⋮ Random and Deterministic Triangle Generation of Three-Dimensional Classical Groups III ⋮ Beauville Surfaces and Probabilistic Group Theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Triangle generation of finite exceptional groups of low rank.
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Fuchsian groups, finite simple groups and representation varieties.
• Fuchsian groups, coverings of Riemann surfaces, subgroup growth, random quotients and random walks.
• Random and Deterministic Triangle Generation of Three-Dimensional Classical Groups I
• On triangle generation of finite groups of Lie type
• A rigid triple of conjugacy classes in G 2
• Triangle groups and PSL2(q)
• On non-Hurwitz groups and non-congruence subgroups of the modular group
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)
• The Representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)

This page was built for publication: Random and Deterministic Triangle Generation of Three-Dimensional Classical Groups I