Remarks on chains of weakly closed subgroups

DOI10.1515/jgt.2011.086zbMath1247.20027OpenAlexW2065009798MaRDI QIDQ2882810

Anna Luisa Gilotti, Luigi Serena

Publication date: 7 May 2012

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2011.086

zbMATH Keywords

\(p\)-subgroupsSylow subgroups\(p\)-nilpotent groupsnormal complementscontrol of fusionfinite supersoluble groupschains of weakly closed subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Series and lattices of subgroups (20D30)

Cites Work

• Control of fusion and solubility in fusion systems
• A note on \(p\)-nilpotence and solvability of finite groups.
• On finite insoluble groups with nilpotent maximal subgroups
• \(p\)-nilpotence of finite groups and minimal subgroups.
• Some results on \(p\)-nilpotence and solubility of finite groups
• On Supersolvable Groups and the Nilpotator
• Strongly Closed Subgroups and Strong Fusion
• CONTROL OF FUSION IN FUSION SYSTEMS
• The influence of ℋ-subgroups on the structure of finite groups
• Onp-Nilpotence and Supersolvability of Finite Groups
• A Sufficient Condition for p -Stability
• A note on \(p\)-nilpotence of finite groups

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