On groups with a splitting automorphism of prime order

DOI10.1007/BF00970963zbMath0841.20030MaRDI QIDQ1903879

Eugenii I. Khukhro

Publication date: 15 January 1996

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

zbMATH Keywords

locally nilpotent groupsnilpotency classvariety of groupsgroups of prime exponent\(d\)-generator nilpotent groupsgroups with regular automorphismsplitting automorphism of prime order

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Finite nilpotent groups, (p)-groups (20D15) Quasivarieties and varieties of groups (20E10) Local properties of groups (20E25)

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
• On almost regular automorphisms of prime order
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• Automorphisms of Solvable Groups

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