Nilpotency in varieties of groups with operators

DOI10.1007/BF01157577zbMath0805.20021MaRDI QIDQ1178089

Eugenii I. Khukhro

Publication date: 26 June 1992

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

zbMATH Keywords

free groupfree productderived lengthclass of nilpotencynilpotent variety of groupsautomorphism of prime ordergroup of operators\(\Omega\)-generalizations of a system of identitiessoluble \(p\)-group

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Finite nilpotent groups, (p)-groups (20D15) Quasivarieties and varieties of groups (20E10)

Related Items (1)

Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity

Cites Work

• Nilpotency of solvable groups admitting a splitting automorphism of prime order

This page was built for publication: Nilpotency in varieties of groups with operators