Guilherme Ortega

collaborators

2 papers

math.GR2025

Structural Results On The Weak Commutativity Construction

Guilherme Ortega, Raimundo Bastos, Ricardo de Oliveira

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

math.GR2023

Finiteness Conditions for the $n$ -fold Tensor Product of Groups

R. Bastos, G. Ortega

Let $G$ be a finitely generated group. We prove that the $n$ -fold tensor product $G^{\otimes n}$ is finite (resp. polycyclic) if and only $G$ is finite (resp. polycyclic). Further,…

Structural Results On The Weak Commutativity Construction

Finiteness Conditions for the n-fold Tensor Product of Groups

Finiteness Conditions for the $n$ -fold Tensor Product of Groups