A New Characterization of Projective Special Linear Groups L3(p2)
Abstract
Let G be a finite group. The vertex set of the prime-power graph of G is defined as V(G)=pep(G)|p∈ρ(G), where ρ(G) is the set of all prime divisors of the degrees of all irreducible characters of G and pep(G)=maxψ(1)p∣ψ∈Irr(G). It has been proved that the simple groups L3(p) can be characterized by its orders and vertex set of prime-power graphs. In this paper, we continue this topic and prove that L3(p2) can be uniquely characterized by its orders and degree prime-power graphs, where p is a prime.
Fields of Study & Subjects
Finite Group Theory Research
Graph theory and applications
Advanced Algebra and Geometry
Publication details
- Journal / source
- Mathematics
- Volume
- 14
- Issue
- 5
- Pages
- 804–804
- Publication date
- 27 February 2026
- Language
- EN