The influence of cut vertices and eigenvalues on character graphs of solvable groups
Roghayeh Hafezieh,
Mohammad Ali Hosseinzadeh,
Samaneh Hossein-Zadeh
et al.
Abstract:Given a finite group G, the character graph, denoted by ∆(G), for its irreducible character degrees is a graph with vertex set ρ(G) which is the set of prime numbers that divide the irreducible character degrees of G, and with {p, q} being an edge if there exist a nonlinear χ ∈ Irr(G) whose degree is divisible by pq. In this paper, we discuss the influences of cut vertices and eigenvalues of ∆(G) on the group structure of G. Recently, Lewis and Meng proved the character graph of each solvable group has at most… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.