On some series of a group related to the non-abelian tensor square of groups

Raimundo Bastos, Ricardo de Oliveira, Carmine Monetta +1

Let $G$ be a group. We denote by $\nu (G)$ a certain extension of the non-abelian tensor square $G\otimes G$ by $G\times G$. In this paper we prove that the derived subgroup $\nu (G{)}^{\prime }$…