Nilpotent fixed point free automorphism groups of solvable groups

DOI10.1007/BF01174905zbMath0246.20017OpenAlexW2007759685MaRDI QIDQ2555566

T. R. Berger

Publication date: 1973

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171899

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

Solvable groups admitting an automorphism of prime power order whose centralizer is small ⋮ On \(\mathbb Z_6\)-graded Lie rings ⋮ On Frobenius' conjecture ⋮ Finite groups admitting fixed point free automorphisms of order pq ⋮ Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity ⋮ Unnamed Item ⋮ Groups admitting nilpotent fixed-point-free automorphism groups ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ On Groups Admitting a Fixed-Point-Free Elementary 2-Group of Automorphisms ⋮ On a conjecture of Thompson ⋮ On periodic groups having almost regular 2-elements ⋮ Minimal einfache gruppen als fixpunztpreie automorphismmgruppen ⋮ Nilpotent groups acting fixed point freely on solvable groups ⋮ Automorphisms of solvable groups ⋮ Fitting height of solvable groups admitting fixed-point-free automorphism groups ⋮ Hall-Higman Type Theorems. II ⋮ On pro-\(p\) groups admitting a fixed-point-free automorphism ⋮ ON THE STRUCTURE OF SOLUBLE GRADED LIE ALGEBRAS ⋮ The Fitting length of solvable \(H_{p^ n}\)-groups

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