Signalizer functors, proper 2-generated cores, and nonconnected groups

DOI10.1016/0021-8693(82)90060-6zbMath0485.20010OpenAlexW2061946133MaRDI QIDQ1164135

Richard Lyons, Daniel Gorenstein

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90060-6

zbMATH Keywords

revisionclassification of finite simple groupssignalizer functor2-generated coregroups of sectional 2-rank at most fournonconnected groups

Mathematics Subject Classification ID

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

Related Items (7)

Signalizer functors and fusion in finite groups ⋮ An odd order remark ⋮ Finite groups of rank 3. II ⋮ Finite groups ⋮ Modular representation theory of blocks with trivial intersection defect groups. ⋮ On the \(p\)-local rank of finite groups. ⋮ Finite groups with standard components of Lie type over fields of characteristic two

Cites Work

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• Groups with nonconnected Sylow 2-subgroups revisited
• On groups with a standard component of known type
• Semi-simple classes in Chevalley type groups
• Central elements in core-free groups
• A conjugation family for finite groups
• 2-signalizer functors on finite groups
• Finite Groups With a Proper 2-Generated Core
• Finite groups whose 2-subgroups are generated by at most 4 elements
• Involutions in Chevalley groups over fields of even order
• On 2-Groups With No Normal Abelian Subgroups of Rank 3, and Their Occurrence as Sylow 2-Subgroups of Finite Simple Groups

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