On groups of local characteristic \(p\).

DOI10.1016/j.jalgebra.2005.12.016zbMath1102.20014OpenAlexW2002140159MaRDI QIDQ2498868

Gernot Stroth

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.2005.12.016

zbMATH Keywords

maximal \(p\)-local subgroupsclassification of finite simple groupsfinite groups of local characteristic \(p\)

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)

Cites Work

• Strong quadratic modules
• Quadratic pairs without components
• Quadratic pairs.
• On quadratic GF(2)-modules for Chevalley groups over fields of odd order
• Quadratic GF 2-modules for sporadic simple groups and alternating groups
• Quadratic action and the 𝒫(G, V)-theorem in arbitrary characteristic
• The Local Structure Theorem for Finite Groups with a Large 𝑝-Subgroup
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