Profinite groups with an automorphism whose fixed points are right Engel

Autor:	Acciarri, C., Khukhro, E. I., Shumyatsky, P.
Rok vydání:	2018
Předmět:	Mathematics - Group Theory 20E18 20E3 20F45 20F40 20D15 20F19
Druh dokumentu:	Working Paper
Popis:	An element $g$ of a group $G$ is said to be right Engel if for every $x\in G$ there is a number $n=n(g,x)$ such that $[g,{}_{n}x]=1$. We prove that if a profinite group $G$ admits a coprime automorphism $\varphi$ of prime order such that every fixed point of $\varphi$ is a right Engel element, then $G$ is locally nilpotent.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.04703 Zobrazit plný text záznamu View this record from Arxiv