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On Regular Prime Graphs of Solvable Groups
(Hikari Ltd, 2016)
Let G be a finite solvable group and∆(G) be the prime vertex graph on cd (G). We show that if∆(G) is noncomplete and regular, then G is the direct product of groups with disconnected graphs of 2 vertices.
4-Regular prime graphs of nonsolvable groups
(CORNELL UNIVERSITY, 2019-01-11)
Let G be a finite group and cd(G) denote the character degree
set for G. The prime graph ∆(G) 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 ...