University of Isfahan International Journal of Group Theory 2251-7650 1 1 2012 03 01 On the right n-Engel group elements 47 51 472 10.22108/ijgt.2012.472 EN H. Khosravi Journal Article 2011 08 20 In this paper we study right $n$-Engel group elements‎. ‎By modifying a group constructed by Newman and Nickel‎, ‎we construct‎, ‎for each integer $n\geq 5$‎, ‎a 2-generator group $G =\langle a‎, ‎b\rangle$ with the property that $b$ is a right $n$-Engel‎ ‎element but where $[b^k,_n a]$ is of infinite order when $k\notin \{0‎, ‎1\}$‎. https://ijgt.ui.ac.ir/article_472_5e23db65a8dbeb8e6ee80a4114a80593.pdf