R. Bastos

activity

20122024

most citedOn groups admitting a word whose values are Engel

17 citations · 115 across the 25 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.GR2019★ 2 cited

Soluble Groups with few orbits under automorphisms

Raimundo Bastos, Alex Carrazedo Dantas, Emerson de Melo

Let $G$ be a group. The orbits of the natural action of Aut $(G)$ on $G$ are called ``automorphism orbits'' of $G$ , and the number of automorphism orbits of $G$ is denoted by $ω (G)$ …

math.GR2019

Boundedly finite conjugacy classes of tensors

Raimundo Bastos, Carmine Monetta

Let $n$ be a positive integer and let $G$ be a group. We denote by $ν (G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$ . Set $T_{\otimes}(G) =…

math.GR2019★ 1 cited

Finiteness conditions for the weak commutativity construction

Raimundo Bastos, Bruno Lima, Ricardo Nunes

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

math.GR2019★ 7 cited

Non-abelian tensor square and related constructions of $p$ -groups

Raimundo Bastos, Emerson de Melo, Nathália Gonçalves +1

Let $G$ be a group. We denote by $ν (G)$ a certain extension of the non-abelian tensor square $[G, G^{φ}]$ by $G \times G$ . We prove that if $G$ is a finite potent $p$ -group, then $[G,…

Soluble Groups with few orbits under automorphisms

Boundedly finite conjugacy classes of tensors

Finiteness conditions for the weak commutativity construction

Non-abelian tensor square and related constructions of p-groups

Non-abelian tensor square and related constructions of $p$ -groups