Fixed points of the complements of Frobenius groups of automorphisms.

DOI10.1007/s11202-010-0057-9zbMath1208.20026OpenAlexW1975902633MaRDI QIDQ606062

Eugenii I. Khukhro

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0057-9

zbMATH Keywords

Frobenius groupsnilpotent groupsautomorphismsassociated Lie ringsfixed point subrings

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

Automorphisms of finite \(p\)-groups admitting a partition. ⋮ Fitting height of a finite group with a Frobenius group of automorphisms. ⋮ Nilpotent length of a finite group admitting a Frobenius group of automorphisms with fixed-point-free kernel.

Cites Work

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• Fixed points of \(p\)-automorphisms of finite \(p\)-groups.
• Finite groups admitting a fixed-point-free automorphism group
• Fixed points of p-groups acting on p-groups
• On a theorem of Thompson on fixed points of groups acting on p-groups
• Frobenius groups as groups of automorphisms

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