Carmine Monetta

activity

20222025

collaborators

4 papers

math.GR2025

Finite groups in which almost all class sizes are prime numbers

Carmine Monetta, Víctor Sotomayor

In this paper we study arithmetical and structural features of a finite group that possesses exactly two conjugacy class sizes that are composite numbers.

math.GR2024

On neighborhoods in the enhanced power graph associated with a finite group

Mark L. Lewis, Carmine Monetta

This article investigates neighborhoods' sizes in the enhanced power graph (as known as the cyclic graph) associated with a finite group. In particular, we characterize finite $p$ -…

math.GR2023

Left $3$ -Engel elements in groups: A survey

Anastasia Hadjievangelou, Patrizia Longobardi, Mercede Maj +3

We survey left 3-Engel elements in groups.

math.GR2022

Upper bounds for the product of element orders of finite groups

Elena Di Domenico, Carmine Monetta, Marialaura Noce

Let $G$ be a finite group of order $n$ , and denote by $ρ (G)$ the product of element orders of $G$ . The aim of this work is to provide some upper bounds for $ρ (G)$ depending only on…

Finite groups in which almost all class sizes are prime numbers

On neighborhoods in the enhanced power graph associated with a finite group

Left 3-Engel elements in groups: A survey

Upper bounds for the product of element orders of finite groups

Left $3$ -Engel elements in groups: A survey