The restricted Burnside problem for multilinear commutators

DOI10.1017/S0305004108002004zbMath1183.20038MaRDI QIDQ3628713

Jhone Caldeira Silva, P. V. Shumyatskij

Publication date: 20 May 2009

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

zbMATH Keywords

soluble groupsvarieties of groupslocally finite groupsresidually finite groupsLie ringsmultilinear commutatorsverbal subgroupscommutator wordsrestricted Burnside problem

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Periodic groups; locally finite groups (20F50) Finite nilpotent groups, (p)-groups (20D15) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12) Associated Lie structures for groups (20F40)

Related Items

Commutators in residually finite groups., Multilinear commutators in residually finite groups., Engel words and the restricted Burnside problem.

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