Ismael Gutierrez

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math.RA2026

Comaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts and structural invariants

David Towers, Yesneri Zuleta, Ismael Gutierrez

Let $L$ be a finite-dimensional Lie algebra over a field $F$ . The comaximal graph $Γ (L)$ has as vertices the proper nonzero subalgebras of $L$ , two of them adjacent whenever they g…

math.RA2026

The comaximal graph of a finite-dimensional Lie algebra

David A. Towers, Yesneri Zuleta, Ismael Gutierrez

In this paper, we introduce the comaximal graph $Γ (L)$ of a finite-dimensional Lie algebra $L$ , whose vertices are the nontrivial proper Lie subalgebras of $L$ over a field $\mathb…

math.RA2025

The solvable Graph of a finite-dimensional Lie Algebra

David Towers, Ismael Gutierrez, Luis Fernandez

We introduce and investigate the solvable graph $Γ_{S} (L)$ of a finite-dimensional Lie algebra $L$ over a field $F$ . The vertices are the elements outside the solvabilizer…

math.RA2025

The nilpotent graph of a finite0-dimensional Lie algebra

David Towers, Ismael Gutierrez, Luis Fernandez

Let $L$ be a finite-dimensional Lie algebra over a field $F$ . In This paper we introduce the \emph{nilpotent graph} $Γ_{N} (L)$ as the graph whose vertices are the elements…