Compact groups with countable Engel sinks

DOI10.1142/S1664360720500150OpenAlexW3028073899MaRDI QIDQ5027007

Eugenii I. Khukhro, P. V. Shumyatskij

Publication date: 3 February 2022

Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11637

zbMATH Keywords

finite groupslocally nilpotent groupspro-\(p\) groupsprofinite groupscompact groupsEngel conditionLie ring method

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Compact groups (22C05) Engel conditions (20F45) Limits, profinite groups (20E18)

Related Items

On profinite groups with automorphisms whose fixed points have countable Engel sinks, Coprime commutators and the nonsoluble length of a finite group, Strong conciseness of Engel words in profinite groups, Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks, Commutators, centralizers, and strong conciseness in profinite groups, Strong conciseness of coprime commutators in profinite groups, Unnamed Item, Centralizers of commutators in finite groups, On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks

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