Commutators in residually finite groups.

DOI10.1007/s11856-011-0027-3zbMath1227.20034OpenAlexW1989751725MaRDI QIDQ532606

P. V. Shumyatskij

Publication date: 5 May 2011

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0027-3

zbMATH Keywords

locally finite groupsexponentsresidually finite groupsproducts of commutatorsderived subgroupcommutator lawslocally finite derived group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Residual properties and generalizations; residually finite groups (20E26) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12)

Related Items

Strong conciseness of Engel words in profinite groups ⋮ Nonsoluble length of finite groups with commutators of small order ⋮ Nonsoluble and non-\(p\)-soluble length of finite groups. ⋮ ON VERBAL SUBGROUPS IN RESIDUALLY FINITE GROUPS ⋮ Multilinear commutators in residually finite groups. ⋮ Compact groups in which all elements have countable right Engel sinks ⋮ ON THE EXPONENT OF A VERBAL SUBGROUP IN A FINITE GROUP ⋮ Compact groups with countable Engel sinks

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