%0 Journal Article
%T On the right n-Engel group elements
%A H. Khosravi
%J International Journal of Group Theory
%D 2012
%I University of Isfahan
%X In this paper we study right $n$-Engel group elements. By modifying a group constructed by Newman and Nickel, we construct, for each integer $ngeq 5$, a 2-generator group $G =langle a, brangle$ with the property that $b$ is a right $n$-Engel element but where $[b^k,_n a]$ is of infinite order when $knotin {0, 1}$.
%K Engel elements
%K right Engel elements
%K right n-Engel elements
%U http://www.theoryofgroups.ir/?_action=showPDF&article=472&_ob=5e23db65a8dbeb8e6ee80a4114a80593&fileName=full_text.pdf