The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup

DOI10.1090/memo/1147zbMath1406.20017OpenAlexW2335526431MaRDI QIDQ5365189

Bernd Stellmacher, Gernot Stroth, Ulrich Meierfrankenfeld

Publication date: 6 October 2017

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/1147

zbMATH Keywords

finite simple groupslocal characteristic \(p\)large subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) General structure theorems for groups (20E34) Finite simple groups and their classification (20D05)

Related Items

A new characteristic subgroup for finite 𝑝-groups ⋮ The finite simple groups and their classification ⋮ A 2-local identification of \(\mathrm P\Omega_8^+(3)\). ⋮ Groups of even type which are not of even characteristic. I ⋮ Baumann-components of finite groups of characteristic \(p\), reduction theorems ⋮ The local structure theorem: the wreath product case ⋮ 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 ⋮ Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩 ⋮ Applications of the FF-module theorem and related results. ⋮ On groups of local characteristic \(p\). ⋮ Afterword to the article “A brief history of the classification of the finite simple groups” ⋮ Baumann-components of finite groups of characteristic \(p\), general theory ⋮ 𝐹-stability in finite groups ⋮ The \(P!\)-theorem ⋮ On the \(\tilde{P}!\)-theorem

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