On profinite groups with word values covered by nilpotent subgroups

DOI10.1007/S11856-018-1720-2zbMath1498.20069OpenAlexW2805422780WikidataQ129720531 ScholiaQ129720531MaRDI QIDQ1659556

Eloisa Detomi, Marta Morigi, P. V. Shumyatskij

Publication date: 22 August 2018

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

Full work available at URL: http://hdl.handle.net/11585/653790

zbMATH Keywords

nilpotent groupscoveringsmultilinear commutator word

Mathematics Subject Classification ID

Nilpotent groups (20F18) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Limits, profinite groups (20E18)

Related Items (6)

On profinite groups with commutators covered by countably many cosets ⋮ Unnamed Item ⋮ BFC-theorems for higher commutator subgroups ⋮ Profinite groups with restricted centralizers of commutators ⋮ Strong conciseness in profinite groups ⋮ On finite groups in which commutators are covered by Engel subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• On conciseness of words in profinite groups.
• On countable coverings of word values in profinite groups.
• On profinite groups with commutators covered by nilpotent subgroups
• Identities for Lie algebras of pro-\(p\) groups
• Combinatorial conditions in residually finite groups. II
• On profinite groups in which commutators are covered by finitely many subgroups.
• Coverings of commutators in profinite groups
• On groups covered by locally nilpotent subgroups
• Two-Generator conditions for Residually Finite Groups
• Verbal subgroups in residually finite groups

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