Almost Engel finite and profinite groups

DOI10.1142/S0218196716500405zbMath1354.20024arXiv1512.06097OpenAlexW2963336138MaRDI QIDQ2821824

P. V. Shumyatskij, Eugenii I. Khukhro

Publication date: 23 September 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06097

zbMATH Keywords

locally nilpotent groupsprofinite groupsFitting subgroupEngel condition

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Generalizations of solvable and nilpotent groups (20F19) Engel conditions (20F45) Limits, profinite groups (20E18)

Related Items

On profinite groups with automorphisms whose fixed points have countable Engel sinks ⋮ Strong conciseness of coprime and anti-coprime commutators ⋮ Finite groups with a soluble group of coprime automorphisms whose fixed points have bounded Engel sinks ⋮ Almost Engel compact groups ⋮ Orderable groups with Engel-like conditions ⋮ Engel sinks of fixed points in finite groups ⋮ On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks

Cites Work

• Some sufficient conditions for a group to be nilpotent
• Finite groups with an automorphism of prime order whose centralizer has small rank.
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• On the length of finite groups and of fixed points