C. Monetta

activity

20172025

most citedA criterion for metanilpotency of a finite group

11 citations · 37 across the 10 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.GR2018★ 6 cited

A nilpotency criterion for some verbal subgroups

Carmine Monetta, Antonio Tortora

The word $w = [x_{i_{1}}, x_{i_{2}}, \dots, x_{i_{k}}]$ is a simple commutator word if $k \geq 2, i_{1} \neq = i_{2}$ and $i_{j} \in {1, \dots, m}$ , for some $m > 1$ . For a finite group $G$ , we prove that…

math.GR2018★ 6 cited

Coprime commutators in finite groups

Carmine Monetta, Raimundo Bastos

Let $G$ be a finite group and let $k \geq 2$ . We prove that the coprime subgroup $γ_{k}^{*} (G)$ is nilpotent if and only if $∣ x y ∣ = ∣ x ∣∣ y ∣$ for any $γ_{k}^{*}$ -commutators $x, y \in G$ of cop…