On profinite groups in which commutators are covered by finitely many subgroups.

DOI10.1007/s00209-012-1067-zzbMath1311.20032arXiv1112.5879OpenAlexW2000164026MaRDI QIDQ1955707

Cristina Acciarri, P. V. Shumyatskij

Publication date: 18 June 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.5879

zbMATH Keywords

unions of subgroupsprofinite groupscoverings of groupsverbal subgroupsouter-commutator words

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items (10)

On profinite groups with commutators covered by countably many cosets ⋮ Covering modules by proper submodules ⋮ On profinite groups with word values covered by nilpotent subgroups ⋮ WORDS AND PRONILPOTENT SUBGROUPS IN PROFINITE GROUPS ⋮ Procyclic coverings of commutators in profinite groups. ⋮ On countable coverings of word values in profinite groups. ⋮ Lower central words in finite \(p\)-groups ⋮ Commutators and commutator subgroups in profinite groups ⋮ On profinite groups with commutators covered by nilpotent subgroups ⋮ On finite groups in which commutators are covered by Engel subgroups

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