Constructing maximal subgroups of orthogonal groups

DOI10.1112/S1461157009000035zbMath1225.20039MaRDI QIDQ3091996

Colva M. Roney-Dougal, Derek F. Holt

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximal subgroupsmatrix group recognitionAschbacher classificationsemilinear classsubfield classmatrix groups over finite fields

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Symbolic computation and algebraic computation (68W30) Linear algebraic groups over finite fields (20G40) Maximal subgroups (20E28) Software, source code, etc. for problems pertaining to group theory (20-04) Simple groups: alternating groups and groups of Lie type (20D06) Other matrix groups over finite fields (20H30)

Related Items

Constructive homomorphisms for classical groups. ⋮ Generation and random generation: from simple groups to maximal subgroups.

Cites Work

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• Low-Dimensional Representations of Quasi-Simple Groups
• Small Degree Representations of Finite Chevalley Groups in Defining Characteristic
• Conjugacy of Subgroups of the General Linear Group
• Constructing Maximal Subgroups of Classical Groups