Acciarri, Christina, Khukhro, Evgeny and Shumyatsky, Pavel (2019) Profinite groups with an automorphism whose fixed points are right Engel. Proceedings of the American Mathematical Society, 147 (9). pp. 36913703. ISSN 00029939
Full content URL: https://doi.org/10.1090/proc/14519
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Item Type:  Article 

Item Status:  Live Archive 
Abstract
An element g of a group G is said to be right Engel if for every x ∈ G there is a number n = n(g, x) such that [g, nx] = 1. We prove that if a profinite group G admits a coprime automorphism ϕ of prime order such that every fixed point of ϕ is a
right Engel element, then G is locally nilpotent.
Keywords:  Profinite groups, finite groups, Engel condition, locally nilpotent groups 

Subjects:  G Mathematical and Computer Sciences > G110 Pure Mathematics 
Divisions:  College of Science > School of Mathematics and Physics 
ID Code:  34600 
Deposited On:  01 Feb 2019 13:14 
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