Existence of Strongly p-Embedded Subgroups

DOI10.1080/00927872.2013.865036zbMath1334.20009OpenAlexW2085923135MaRDI QIDQ5249906

M. Reza Salarian, Gernot Stroth

Publication date: 13 May 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.865036

zbMATH Keywords

finite groupsfinite simple groupsfinite groups of Lie typestrongly \(p\)-embedded subgroupsgroups of local characteristic \(p\)\(p\)-local subgroupsclassification of finite simple groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items

The global structure theorem for finite groups with an abelian large \(p\)-subgroup, Finite Groups Which are Almost Groups of Lie Type in Characteristic 𝐩, The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup, A family of fusion systems related to the groups \(\mathrm{Sp}_4(p^a)\) and \(\mathrm G_2(p^a)\).

Cites Work

• Unnamed Item
• Strongly \(p\)-embedded subgroups.
• Generation of fusion systems of characteristic 2-type.
• The theory of finite groups. An introduction.
• The local \(C(G,T)\) theorem.
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• Lectures on Chevalley Groups
• Quadratic modules for CHEVALLEY groups over fields of odd characteristics
• Quadratic action and the 𝒫(G, V)-theorem in arbitrary characteristic
• A Characteristic Subgroup of a p-Stable Group