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 2017Show all

2 papers · 1 filter

math.GR2017★ 3 cited

Non-abelian tensor product of residually finite groups

Raimundo Bastos, Noraí R. Rocco

Let $G$ and $H$ be groups that act compatibly on each other. We denote by $η (G, H)$ a certain extension of the non-abelian tensor product $G \otimes H$ by $G \times H$ . Suppose that…

math.GR2017★ 11 cited

A criterion for metanilpotency of a finite group

Raimundo Bastos, Carmine Monetta, Pavel Shumyatsky

We prove that the $k$ th term of the lower central series of a finite group $G$ is nilpotent if and only if $∣ ab ∣ = ∣ a ∣∣ b ∣$ for any $γ_{k}$ -commutators $a, b \in G$ of coprime orders.