The local \(C(G,T)\) theorem.

DOI10.1016/j.jalgebra.2005.08.040zbMath1102.20020OpenAlexW2025612529MaRDI QIDQ2498867

Nils Hebbinghaus, David M. Bundy, Bernd Stellmacher

Publication date: 16 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.08.040

zbMATH Keywords

\(p\)-local subgroupsclassification of finite simple groupsfinite groups of local characteristic \(p\)Baumann subgroupsThompson subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (11)

Fusion systems and localities. ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ The general FF-module theorem. ⋮ The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup ⋮ Minimal fusion systems with a unique maximal parabolic. ⋮ Nearly quadratic modules. ⋮ An application of the Local C(G,T) Theorem to a conjecture of Weiss ⋮ Recognizing SL2(q) in fusion systems ⋮ Baumann-components of finite groups of characteristic \(p\), general theory ⋮ 𝐹-stability in finite groups ⋮ Existence of Strongly p-Embedded Subgroups

Cites Work

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• Pushing up
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• Factorizations of p-solvable groups
• Central elements in core-free groups
• Weakly closed elements of Sylow subgroups
• Some subgroups of \(SI_ n(F_2)\)
• Some groups generated by transvections
• A Factorization Theorem for 2-Constrained Groups
• Uber Endliche Gruppen Mit Einer ZU L 2 (2 n ) Isomorphen Faktorgruppe
• Quadratic action and the 𝒫(G, V)-theorem in arbitrary characteristic
• FAILURE OF FACTORIZATION IN p-SOLVABLE GROUPS

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