The Fitting length of solvable \(H_{p^ n}\)-groups

DOI10.1007/BF02772958zbMath0584.20010MaRDI QIDQ1070332

Thomas Meixner

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

sectionsFitting lengthfixed point free automorphismgeneralized Hughes subgroupupper Fitting series

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)

Related Items (10)

Generalized fixed point free automorphisms ⋮ A GENERALIZED FIXED POINT FREE AUTOMORPHISM OF PRIME POWER ORDER ⋮ The 2-length of the Hughes subgroup ⋮ Groups admitting a \(4\)-splitting automorphism ⋮ On the Fitting length of generalized Hughes subgroup ⋮ On the Fitting length of \(H_{pq}(G)\) ⋮ On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. ⋮ Splitting automorphisms of order 2. ⋮ The Influence of Hughes Type Action ⋮ On the Fitting length of \(H_ n(G)\)

Cites Work

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• The \(H_p\)-problem and the structure of \(H_p\)-groups
• Die Nilpotenz der \(H_ p\)-Gruppen
• On the Hall-Higman and Shult theorems. II
• The 2-length of a finite solvable group
• On groups admitting fixed point free abelian operator groups
• Groups admitting a fixed-point-free automorphism of order \(2^ n\)
• Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen
• Nilpotent fixed point free automorphism groups of solvable groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Finite p -Groups Acting on p -Soluble Groups
• Solvable Groups Admitting a Fixed-Point-Free Automorphism of Prime Power Order
• Endliche Gruppen I
• Elementary abelian operator groups

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