Fitting height of solvable groups admitting an automorphism of prime order with Abelian fixed-point subgroup

DOI10.1016/0021-8693(81)90287-8zbMath0462.20021OpenAlexW2083378854MaRDI QIDQ1153227

Arnold D. Feldman

Publication date: 1981

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90287-8

zbMATH Keywords

Fitting heightextraspecial groupautomorphism of prime orderfinite soluble p'-groupfixed-point subgroupHall-Higman method

Mathematics Subject Classification ID

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

Related Items (4)

Automorphisms and Fitting factors of finite groups ⋮ Finite groups ⋮ On finite groups admitting a special noncoprime action ⋮ Automorphism of prime order of solvable groups whose subgroups of fixed points are nilpotent

Cites Work

• Unnamed Item
• Fitting height of solvable groups admitting fixed-point-free automorphism groups
• \(p\)-Automorphismen von auflösbaren \(p\)-Gruppen
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Involutory Automorphisms of Groups of odd Order and Their Fixed Point Groups
• Correspondences of Characters for Relatively Prime Operator Groups

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