A (locally nilpotent)-by-nilpotent variety of groups

DOI10.1017/S0305004102005571zbMath1007.20024MaRDI QIDQ4328797

P. V. Shumyatskij

Publication date: 19 December 2002

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

varieties of groupslocally nilpotent groupscommutatorsderived seriesrestricted Burnside problemdimension subgroupsLazard-Zassenhaus Lie algebrasLie PI-algebras

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Associated Lie structures for groups (20F40)

Related Items (6)

On words that are concise in residually finite groups. ⋮ On varieties of groups satisfying an Engel type identity. ⋮ On profinite groups in which commutators are covered by finitely many subgroups. ⋮ The restricted Burnside problem for multilinear commutators ⋮ Words of Engel type are concise in residually finite groups ⋮ On varieties arising from the solution of the restricted Burnside problem

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