On groups covered by locally nilpotent subgroups

DOI10.1007/s10231-016-0627-yzbMath1375.20034OpenAlexW2556079624MaRDI QIDQ2406451

Eloisa Detomi, P. V. Shumyatskij, Marta Morigi

Publication date: 29 September 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11577/3253799

zbMATH Keywords

coveringscommutatorsprofinite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) Commutator calculus (20F12) Limits, profinite groups (20E18)

Related Items (4)

On profinite groups with commutators covered by countably many cosets ⋮ On profinite groups with word values covered by nilpotent subgroups ⋮ Profinite groups with restricted centralizers of commutators ⋮ On finite groups in which commutators are covered by Engel subgroups

Cites Work

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• Combinatorial conditions in residually finite groups. II
• On some properties of the upper and lower central series
• Coverings of commutators in profinite groups
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• Two-Generator conditions for Residually Finite Groups
• On groups with commutators of bounded order
• ON GROUPS ADMITTING A WORD WHOSE VALUES ARE ENGEL

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