Solvable Groups Admitting a Fixed-Point-Free Automorphism of Prime Power Order

DOI10.2307/2035759zbMath0147.27201OpenAlexW4242632062MaRDI QIDQ5525404

Fletcher Gross

Publication date: 1966

Full work available at URL: https://doi.org/10.2307/2035759

zbMATH Keywords

group theory

Related Items (16)

Solvable groups admitting an automorphism of prime power order whose centralizer is small ⋮ A noncoprime Shult type theorem ⋮ Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity ⋮ Unnamed Item ⋮ Finite soluble groups admitting an automorphism of prime power order with few fixed points ⋮ A Note on Fixed-Point-Free Solvable Operator Groups ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ A Frobenius group analog for Camina triples ⋮ An arithmetic property of profinite groups ⋮ The Fitting length of finite soluble groups. II: Fixed-point-free automorphisms ⋮ Finite groups ⋮ Finite groups admitting a fixed-point-free 2-automorphism ⋮ Eine Verallgemeinerung von fixpunktfreien Automorphismen endlicher Gruppen ⋮ Nilpotent fixed point free automorphism groups of solvable groups ⋮ Almost regular automorphisms ⋮ The Fitting length of solvable \(H_{p^ n}\)-groups

Cites Work

• Nilpotent height of finite groups admitting fixed-point-free automorphisms
• On groups admitting fixed point free abelian operator groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Finite Groups Admitting a Fixed-Point-Free Automorphism of Order 4
• Automorphisms of solvable groups

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