Non-abelian tensor square and related constructions of $p$-groups

Raimundo Bastos, Emerson de Melo, Nathália Gonçalves +1

Let $G$ be a group. We denote by $\nu (G)$ a certain extension of the non-abelian tensor square $[G,G^{\phi }]$ by $G\times G$. We prove that if $G$ is a finite potent $p$-group, then $[G,…