Classification of \(2F\)-modules. I

DOI10.1016/S0021-8693(02)00526-4zbMath1017.20005OpenAlexW2024295021MaRDI QIDQ1858256

Gunter Malle, Robert M. Guralnick

Publication date: 12 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00526-4

zbMATH Keywords

sporadic groupsfinite simple groupsSylow subgroupsirreducible modulesgroups of Lie typecharacteristic subgroupsquadratic modulesfailure of factorization modules\(2F\)-modules

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of sporadic groups (20C34) Representations of finite groups of Lie type (20C33)

Related Items (12)

Groups of even type which are not of even characteristic. II ⋮ 2F-modules, Abelian sets of roots and 2-ranks. ⋮ The 2F-modules for nearly simple groups. ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ The general FF-module theorem. ⋮ Applications of the FF-module theorem and related results. ⋮ The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup ⋮ Nearly quadratic modules. ⋮ Maximal abelian sets of roots ⋮ Weakly closed unipotent subgroups in Chevalley groups. ⋮ 𝐹-stability in finite groups ⋮ The \(P!\)-theorem

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