Finiteness conditions for the weak commutativity construction

Raimundo Bastos, Bruno Lima, Ricardo Nunes

The operator, $\chi$, of weak commutativity between isomorphic groups $G$ and $G^{\phi }$ was introduced by Sidki as \begin{equation*} χ(G)=\left\langle G \cup G^{φ}\mid \lbrack g,g^{φ}]=…