Automorphisms of solvable groups

DOI10.1016/0021-8693(73)90108-7zbMath0281.20010OpenAlexW1994565773MaRDI QIDQ5917368

T. R. Berger

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-8693(73)90108-7

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 (10)

Solvable groups admitting an automorphism of prime power order whose centralizer is small ⋮ Solvable groups and algebraic modules ⋮ Supersolvable automorphism groups of solvable groups. ⋮ An arithmetic property of profinite groups ⋮ On a conjecture of Thompson ⋮ Nilpotent groups acting fixed point freely on solvable groups ⋮ Primitive solvable groups ⋮ Finite groups admitting a fixed-point-free 2-automorphism ⋮ Hall-Higman Type Theorems. II ⋮ Nilpotent fixed point free automorphism groups of solvable groups

Cites Work

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• Hall-Higman type theorems. V
• Nilpotent height of finite groups admitting fixed-point-free automorphisms
• On groups admitting fixed point free abelian operator groups
• The Klein group as an automorphism group without fixed point
• Class two p-groups as fixed point free automorphism groups
• Odd p groups as fixed point free automorphism groups
• Nilpotent fixed point free automorphism groups of solvable groups
• Fixed points in groups with operator groups
• Hall-Higman Type Theorems. IV
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Hall-Higman Type Theorems. III
• Hall Higman Type Theorems, I
• Hall-Higman Type Theorems. II

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