Automorphisms and Fitting factors of finite groups

DOI10.1016/0021-8693(81)90301-XzbMath0473.20018MaRDI QIDQ1158521

Martin R. Pettet

Publication date: 1981

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

zbMATH Keywords

Fitting subgroupfinite solvable groupfixed-point subgroupfixed-point free automorphism of prime order

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45)

Related Items (7)

Finite groups with an automorphism of prime order whose centralizer has small rank. ⋮ Lie algebras with almost constant-free derivations ⋮ Unnamed Item ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ Automorphisms of prime order almost regular in the sense of rank. ⋮ Finite groups ⋮ A note on groups with restrictions on centralizers of in nite index

Cites Work

• Unnamed Item
• Unnamed Item
• On groups of even order
• Fitting height of solvable groups admitting an automorphism of prime order with Abelian fixed-point subgroup
• \(p\)-Automorphismen von auflösbaren \(p\)-Gruppen
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Maximal Abelian Subgroups of the Symmetric Groups
• Automorphisms of solvable groups

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