3 papers
math.GR2024★ 1 cited
On the Nilpotent Graph of a finite Group
Jaime Torres, Ismael Gutierrez, E. J. Garcia-Claro
If G is a non-nilpotent group and nil(G) = {g \in G : <g, h> is nilpotent for all h\in G}, the nilpotent graph of G is the graph with set of vertices G-nil(G) in which two distinct…
math.GR2022
The t-Graphs Over Finitely-Generated Groups and the Minkowski Metric
G. Diaz-Porto, I. S. Gutierrez, A. Torres-Grandisson
In this paper, we introduce the t-graphs defined on finitely-generate groups. We study some general aspects of the t-graphs on 2-generator groups, emphasising establishing necessar…
math.RA2020
Classes of Algebras and closure operations
I. S. Gutierrez, Anselmo Torresblanca-Badillo, David A. Towers
The calculus of classes and closure operations has proved to be a useful tool in group theory and has led to a deep theory in the study of finite soluble groups. More recently, par…