The general FF-module theorem.

DOI10.1016/j.jalgebra.2011.10.029zbMath1262.20003OpenAlexW2032023239MaRDI QIDQ427747

Ulrich Meierfrankenfeld, Bernd Stellmacher

Publication date: 18 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.10.029

zbMATH Keywords

finite groupsrepresentationsgroups of local characteristic \(p\)irreducible failure of factorization modules

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (17)

Weak closure and Oliver's \(p\)-group conjecture. ⋮ Fusion systems and localities. ⋮ Existence and uniqueness of linking systems: Chermak's proof via obstruction theory ⋮ General offender theory ⋮ Baumann-components of finite groups of characteristic \(p\), reduction theorems ⋮ The global structure theorem for finite groups with an abelian large \(p\)-subgroup ⋮ Baumann-components of finite groups of characteristic \(p\), the \(W(B)\)-theorem ⋮ NONREALIZABILITY OF CERTAIN REPRESENTATIONS IN FUSION SYSTEMS ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ Applications of the FF-module theorem and related results. ⋮ On the Weiss conjecture. I ⋮ The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup ⋮ Nearly quadratic modules. ⋮ Existence and uniqueness of classifying spaces for fusion systems over discretep-toral groups ⋮ Baumann-components of finite groups of characteristic \(p\), general theory ⋮ Control of fixed points and existence and uniqueness of centric linking systems ⋮ Automorphisms of fusion systems of finite simple groups of Lie typeandAutomorphisms of fusion systems of sporadic simple groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The other \(P(G,V)\)-theorem.
• The 2F-modules for nearly simple groups.
• Nearly quadratic modules.
• A remark on irreducible modules for finite Lie-type groups
• A characterization of the spinmodule for \(2\cdot A_ n\)
• Theory of finite groups. An introduction
• First cohomology groups of some orthogonal groups
• Classification of \(2F\)-modules. I
• The local \(C(G,T)\) theorem.
• Some subgroups of \(SI_ n(F_2)\)
• On quadratic GF(2)-modules for Chevalley groups over fields of odd order
• Quadratic GF 2-modules for sporadic simple groups and alternating groups
• Failure of factorization modules for lie-type groups in odd characteristic
• An enemies list for factorization theorems
• Quadratic action and the 𝒫(G, V)-theorem in arbitrary characteristic
• The classification of the finite simple groups

This page was built for publication: The general FF-module theorem.