Weak commutativity for pro-$p$ groups

Dessislava H. Kochloukova, Luís Mendonça

We define and study a pro-$p$ version of Sidki's weak commutativity construction. This is the pro-$p$ group ${\mathfrak{X}}_p(G)$ generated by two copies $G$ and $G^{\psi }$ of a pro-$p$ g…