Solubility of finite groups admitting a fixed-point-free automorphism of order rst. III

DOI10.1007/BF02772962zbMath0575.20024OpenAlexW3021788178MaRDI QIDQ1064404

Peter J. Rowley

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02772962

zbMATH Keywords

minimal counterexamplesoluble subgroupfixed point free automorphism\(\alpha \) - invariant Sylow p-subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Automorphisms of abstract finite groups (20D45)

Related Items (2)

Quantum algorithms for fixed points and invariant subgroups ⋮ Solubility of finite groups admitting a fixed-point-free automorphism of order rst. IV

Cites Work

• Unnamed Item
• Solubility of finite groups admitting a fixed-point-free automorphism of order rst. II
• Solubility of finite groups admitting a fixed-point-free automorphism of order rst. I
• A characteristic subgroup of a group of odd order

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