%0 Journal Article
%T On some subgroups associated with the tensor square of a group
%A Mohammad Mehdi Nasrabadi
%A Ali Gholamian
%A Mohammad Javad Sadeghifard
%J International Journal of Group Theory
%D 2013
%I University of Isfahan
%X In this paper we present some results about subgroup which is generalization of the subgroup $R_{2}^{otimes}(G)={ain G|[a,g]otimes g=1_{otimes},forall gin G}$ of right $2_{otimes}$-Engel elements of a given group $G$. If $p$ is an odd prime, then with the help of these results, we obtain the results about tensor squares of p-groups satisfying the law $[x,g,y]otimes g=1_{otimes}$, for all $x, g, yin G$. In particular p-groups satisfying the law $[x,g,y]otimes g=1_{otimes}$ have abelian tensor squares. Moreover, we can determine tensor squares of two-generator p-groups of class three satisfying the law $[x,g,y]otimes g=1_{otimes}$.
%K Non-abelian tensor square
%K Engel elements of a group
%K p-groups
%U http://www.theoryofgroups.ir/?_action=showPDF&article=1897&_ob=1f5905dcbdef0eadf29d39b9305e74be&fileName=full_text.pdf