Structural Results On The Weak Commutativity Construction

Guilherme Ortega, Raimundo Bastos, Ricardo de Oliveira

The weak commutativity group $\chi (G)$ is generated by two isomorphic groups $G$ and $G^{\phi }$ subject to the relations $[g,g^{\phi }]=1$ for all $g\in G$. We obtain new expressions for the…