Nearly quadratic modules.

DOI10.1016/j.jalgebra.2007.12.015zbMath1153.20003OpenAlexW2045257264MaRDI QIDQ934077

Bernd Stellmacher, Ulrich Meierfrankenfeld

Publication date: 29 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.12.015

zbMATH Keywords

finite groupsgroups of local characteristic \(p\)nearly quadratic modulesnearly quadratic subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite simple groups and their classification (20D05)

Related Items (6)

A new characteristic subgroup for finite 𝑝-groups ⋮ Baumann-components of finite groups of characteristic \(p\), reduction theorems ⋮ 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 ⋮ Primitive pairs of \(p\)-solvable groups.

Cites Work

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• The general FF-module theorem.
• The 2F-modules for nearly simple groups.
• Classification of \(2F\)-modules. I
• The local \(C(G,T)\) theorem.
• 𝐹-stability in finite groups
• Quadratic action and the 𝒫(G, V)-theorem in arbitrary characteristic
• The classification of the finite simple groups

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