Groups generated by a finite Engel set

Alireza Abdollahi, Rolf Brandl, Antonio Tortora

A subset $S$ of a group $G$ is called an Engel set if, for all $x,y\in S$, there is a non-negative integer $n=n(x,y)$ such that $[x,{}_{n}y]=1$. In this paper we are interested in f…