Coprime actions with supersolvable fixed-point groups

DOI10.1515/jgth-2018-0005zbMath1426.20010OpenAlexW2793490426MaRDI QIDQ1748042

Hangyang Meng, Xiu Yun Guo

Publication date: 2 May 2018

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2018-0005

zbMATH Keywords

group action\(p\)-nilpotent groupsupersoluble groupfixed-point subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items

Coprime actions with \(p\)-nilpotent centralizers

Cites Work

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• On finite soluble groups and the fixed-point groups of automorphisms
• On finite groups admitting automorphisms with nilpotent fixed-point group
• Derived subgroups of fixed points.