Structural Results On The Weak Commutativity Construction

Guilherme Ortega, Raimundo Bastos, Ricardo de Oliveira

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