Extensions of several coprime results to good action case

DOI10.1142/S021949882250222XOpenAlexW3187906577MaRDI QIDQ5039766

Enrico Jabara, İsmail Ş. Güloğlu, Gülin Ercan

Publication date: 4 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.00666

zbMATH Keywords

finite groupssupersolvableFitting height\(p\)-nilpotentfixed point free actiongood action

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 (1)

Good action of a nilpotent group with regular orbits

Cites Work

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• Fitting height of groups and of fixed points
• Regular orbits on symplectic modules
• Elementary abelian operator groups
• Centralizers of finite nilpotent subgroups in locally finite groups
• Coprime actions with \(p\)-nilpotent centralizers
• Good action on a finite group
• Fixed point free action with regular orbits.
• On groups admitting a noncyclic abelian automorphism group
• Elementary abelian operator groups

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