On groups with commutators of bounded order

DOI10.1090/S0002-9939-99-04982-5zbMath0956.20017OpenAlexW1555279761MaRDI QIDQ4252903

P. V. Shumyatskij

Publication date: 23 June 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04982-5

zbMATH Keywords

associated Lie algebrascommutatorsresidually finite groupslocally finite derived groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Residual properties and generalizations; residually finite groups (20E26) Commutator calculus (20F12) Associated Lie structures for groups (20F40)

Related Items (11)

Unnamed Item ⋮ On groups covered by locally nilpotent subgroups ⋮ On words that are concise in residually finite groups. ⋮ On profinite groups in which commutators are Engel ⋮ ON VERBAL SUBGROUPS IN RESIDUALLY FINITE GROUPS ⋮ The non-abelian tensor square of residually finite groups ⋮ Commutators in residually finite groups. ⋮ Multilinear commutators in residually finite groups. ⋮ Groups with a positive law on commutators. ⋮ GROUPS WITH ABELIAN SYLOW SUBGROUPS ⋮ ON THE EXPONENT OF A VERBAL SUBGROUP IN A FINITE GROUP

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