Raimundo Bastos

activity

20202025

most citedOn the exponent of the Weak commutativity group

χ (G)

3 citations · 7 across the 5 of their papers we have counts for

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5 papers · 1 filter

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,…

math.GR2021★ 2 cited

On some series of a group related to the non-abelian tensor square of groups

Raimundo Bastos, Ricardo de Oliveira, Carmine Monetta +1

Let $G$ be a group. We denote by $ν (G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$ . In this paper we prove that the derived subgroup $ν (G)^{'}$ …

math.GR2020★ 3 cited

On the exponent of the Weak commutativity group $χ (G)$

R. Bastos, E. de Melo, R. 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 $g \in G$ . The group $χ (G)$ is an extension o…

math.GR2020★ 2 cited

The exponent of the non-abelian tensor square and related constructions of $p$ -groups

R. Bastos, E. de Melo, N. Gonçalves +1

Let $G$ be a finite $p$ -group. In this paper we obtain bounds for the exponent of the non-abelian tensor square $G \otimes G$ and of $ν (G)$ , which is a certain extension of $G \oti…

Structural Results On The Weak Commutativity Construction

Finiteness Conditions for the n-fold Tensor Product of Groups

On some series of a group related to the non-abelian tensor square of groups

On the exponent of the Weak commutativity group χ(G)

The exponent of the non-abelian tensor square and related constructions of p-groups

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

On the exponent of the Weak commutativity group $χ (G)$

The exponent of the non-abelian tensor square and related constructions of $p$ -groups