On a generalization of the Hughes subgroup

DOI10.1007/BF02675951zbMath0941.20012MaRDI QIDQ1972656

Eugenii I. Khukhro

Publication date: 13 April 2000

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

finite groupsnormal subgroupsnilpotent groupsderived lengthsnilpotency classesHughes subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

A counter example for nilpotent groups. ⋮ Counting classes and characters of groups of prime exponent.

Cites Work

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• The \(H_p\)-problem and the structure of \(H_p\)-groups
• Die Nilpotenz der \(H_ p\)-Gruppen
• Nilpotency of solvable groups admitting a splitting automorphism of prime order
• The subgroups of Baer and Hughes
• On nilpotent groups having an almost regular automorphism of prime order
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• The Series of Norms in a Soluble p -Group
• A Hughes-like property for finite groups

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