3 papers
math.GR2025
On the directed normalizing graph associated with a group
Costantino Delizia, Michele Gaeta, Carmine Monetta
In this paper we investigate the associated with a group , defined as the simple directed graph whose vertices are the elements of , with an…
math.GR2025
Neighborhoods, connectivity, and diameter of the nilpotent graph of a finite group
Costantino Delizia, Michele Gaeta, Mark L. Lewis +1
The nilpotent graph of a group is the simple and undirected graph whose vertices are the elements of and two distinct vertices are adjacent if they generate a nilpotent sub…
math.GR2024
A generalization of concise words
Costantino Delizia, Michele Gaeta, Carmine Monetta
The study of verbal subgroups within a group is well-known for being an effective tool to obtain structural information about a group. Therefore, conditions that allow the classifi…