4 citations · 6 across the 7 of their papers we have counts for
9 papers
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…
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…
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…
On verbal subgroups of the group of automorphisms of regular rooted trees
Costantino Delizia, Mikel E. Garciarena, Marialaura Noce
In this paper we revisit the description of all verbal subgroups of the group of automorphisms of a regular rooted tree , for and odd.
On the solubilizer of an element in a finite group
Banafsheh Akbari, Costantino Delizia, Carmine Monetta
The solubility graph associated with a finite group is a simple graph whose vertices are the elements of , and there is an edge between two distinct vertices if and…
Gaps in probabilities of satisfying some commutator-like identities
Costantino Delizia, Urban Jezernik, Primoz Moravec +1
We show that there is a positive constant such that the probability of satisfying either the -Engel identity or the metabelian identity $[[X_1, X_2]…