Solubility of finite groups admitting a certain fixed-point-free group of automorphisms

DOI10.1016/0021-8693(89)90262-7zbMath0682.20013OpenAlexW1988075926MaRDI QIDQ1824030

Yanyan Li

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90262-7

zbMATH Keywords

solubilityminimal counterexamplefixed-point free automorphism group

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)

Cites Work

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• Groups which admit a fixed-point-free automorphism of order \(p^2\)
• Solubility of groups admitting a fixed-point-free automorphism group of type \((p,p)\)
• Solvability of finite groups admitting fixed-point-free automorphisms of order rs
• Fixed points in groups with operator groups
• Fixed-Point-Free Automorphism Groups of Square-Free Exponent
• Solubility of Finite Groups Admitting a Fixed-Point-Free Abelian Automorphism Group of Square-Free Exponent rs
• Automorphisms of Finite Groups and their Fixed-Point Groups
• Endliche Gruppen I
• ELEMENTARY ABELIAN FIXED POINT FREE AUTOMORPHISM GROUPS

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