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 2016 · math.GRShow all

4 papers · 2 filters

math.GR2016★ 7 cited

Finiteness conditions for the non-abelian tensor product of groups

Raimundo Bastos, Irene N. Nakaoka, Noraí R. Rocco

Let $G$ , $H$ be groups. We denote by $η (G, H)$ a certain extension of the non-abelian tensor product $G \otimes H$ by $G \times H$ . We prove that if $G$ and $H$ are groups that act…

math.GR2016★ 14 cited

A Sufficient Condition for Nilpotency of the Commutator Subgroup

Raimundo Bastos, Pavel Shumyatsky

Let $G$ be a finite group with the property that if $a, b$ are commutators of coprime orders, then $∣ ab ∣ = ∣ a ∣∣ b ∣$ . We show that $G^{'}$ is nilpotent.

math.GR2016

A note on finiteness conditions for the non-abelian tensor square of groups

Raimundo Bastos, Noraí Romeu Rocco

Let $G$ be a group. We denote by $ν (G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$ . We prove that if $G$ is a finitely generated group in wh…

math.GR2016★ 3 cited

The non-abelian tensor square of residually finite groups

Raimundo Bastos, Noraí Romeu Rocco

Let $m, n$ be positive integers and $p$ a prime. We denote by $ν (G)$ an extension of the non-abelian tensor square $G \otimes G$ by $G \times G$ . We prove that if $G$ is a residuall…