Fixed points of \(p\)-automorphisms of finite \(p\)-groups.

DOI10.1007/BF01668472zbMath0407.20019MaRDI QIDQ1257970

Eugenii I. Khukhro

Publication date: 1976

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

finite \(p\)-groups\(p\)-automorphismsHall \(p'\)-subgroupsSylow \(p\)-subgroups of class at most \(p-1\)

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Fixed points of the complements of Frobenius groups of automorphisms. ⋮ Fitting height of a finite group with a Frobenius group of automorphisms.

Cites Work

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• Fixed points of p-groups acting on p-groups
• On a theorem of Thompson on fixed points of groups acting on p-groups

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