Work

On the structure of the character degree graphs having diameter three

Year: 2025

Type: article

Abstract: The structure of the character degree graphs Δ ( G ) , i.e. the prime graphs on the set cd ( G ) of the irreducible character degrees of a finite group G , such that G is solvable and Δ ( G ) has diameter three, remains an intriguing area of study. However, a comprehensive understanding of these structures remains elusive. In this paper, we prove some properties and provide an infinite series of examples of this class of graphs, building on the ideas of M. Lewis [8] .

Source: Journal of Algebra

DOI: 10.1016/j.jalgebra.2025.08.002

Authors: Silvio Dolfi, Roghayeh Hafezieh, Pablo Spiga

Institutions: University of Florence, Gebze Technical University, University of Milano-Bicocca

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,310

Funders: European Commission, Università degli Studi di Milano-Bicocca, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni