On finite groups admitting a special noncoprime action

DOI10.1090/S0002-9939-05-08011-1zbMath1091.20009OpenAlexW1515650629MaRDI QIDQ4674750

Gülin Ercan

Publication date: 18 May 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08011-1

zbMATH Keywords

finite solvable groupsFitting heightscomposition lengthsfixed point free automorphisms

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45)

Cites Work

• Unnamed Item
• Fitting height of groups and of fixed points
• Automorphism of prime order of solvable groups whose subgroups of fixed points are nilpotent
• Fitting height of solvable groups admitting an automorphism of prime order with Abelian fixed-point subgroup
• Solvable groups admitting an almost fixed point free automorphism of prime order
• On the Fitting length of \(H_ n(G)\)
• Finite soluble groups admitting an automorphism of prime power order with few fixed points
• Finite groups admitting fixed-point free automorphisms of order pqr

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