The 2F-modules for nearly simple groups.

DOI10.1016/j.jalgebra.2006.10.011zbMath1115.20002OpenAlexW2038431157MaRDI QIDQ865476

Gunter Malle, Robert M. Guralnick, Ross Lawther

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.10.011

zbMATH Keywords

quasi-simple groupsAbelian sets of rootsfailure of factorization modulesoffenders2F-modulesF-modulesquasithin simple groups

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (7)

Groups of even type which are not of even characteristic. II ⋮ 2F-modules, Abelian sets of roots and 2-ranks. ⋮ The general FF-module theorem. ⋮ The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup ⋮ Nearly quadratic modules. ⋮ Maximal abelian sets of roots ⋮ 𝐹-stability in finite groups

Cites Work

• 2F-modules, Abelian sets of roots and 2-ranks.
• Generation of finite almost simple groups by conjugates.
• Classification of \(2F\)-modules. I
• Subgroups of Classical Groups Generated by Long Root Elements
• Jordan block sizes of unipotent elements in exceptional algebraic groups
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