Profinite groups with an automorphism whose fixed points are right Engel

DOI10.1090/proc/14519zbMath1442.20015arXiv1808.04703OpenAlexW2886347795WikidataQ128482346 ScholiaQ128482346MaRDI QIDQ5233949

Cristina Acciarri, P. V. Shumyatskij, Eugenii I. Khukhro

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04703

zbMATH Keywords

finite groupslocally nilpotent groupsprofinite groupsEngel condition

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Finite nilpotent groups, (p)-groups (20D15) Engel conditions (20F45) Limits, profinite groups (20E18) Associated Lie structures for groups (20F40)

Related Items (5)

Some thoughts on the current state of the theory of identical relations in Lie algebras ⋮ On profinite groups with automorphisms whose fixed points have countable Engel sinks ⋮ Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks ⋮ Profinite groups with an automorphism of prime order whose fixed points have finite Engel sinks ⋮ On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks

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