A Note on Fixed-Point-Free Solvable Operator Groups

DOI10.2307/2036212zbMath0182.35302OpenAlexW4255465143MaRDI QIDQ5572373

Fletcher Gross

Publication date: 1968

Full work available at URL: https://doi.org/10.2307/2036212

zbMATH Keywords

group theory

Related Items (6)

Finite groups admitting fixed point free automorphisms of order pq ⋮ Examples of Centralizers of Automorphism Groups ⋮ Finite groups ⋮ Elementary abelian operator groups ⋮ Nilpotent fixed point free automorphism groups of solvable groups ⋮ Generic fixed point free action of arbitrary finite groups

Cites Work

• Nilpotent height of finite groups admitting fixed-point-free automorphisms
• On groups admitting fixed point free abelian operator groups
• Nilpotence of the commutator subgroup in groups admitting fixed point free operator groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Solvable Groups Admitting a Fixed-Point-Free Automorphism of Prime Power Order

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