Title of article :
-Regular prime graphs of nonsolvable groups
Author/Authors :
Kasyoki, Donnie School of Mathematics - Statistics and Actuarial Science - Maseno University - Kenya , Oleche, Paul Department of Pure and Mathematics - Maseno University - Kenya
Abstract :
Let G be a finite group and /cd(G) denote the character degree set for G. The prime graph /DG is a simple graph whose vertex set consists of prime divisors of elements in /cd(G), denoted ρ(G). Two primes p,q∈ρ(G) are adjacent in /DG if and only if pq|a for some a∈/cd(G). We determine which simple 4-regular graphs occur as prime graphs for some finite nonsolvable group.
Keywords :
Nonsolvable group , character , character degree , graph , prime graph
Journal title :
International Journal of Group Theory
