A generalization of prime graphs of finite groups
Seiichi Abe, Nobuo Iiyori · Hokkaido Mathematical Journal · 2000
We investigate some properties of generalized prime graphs of finite groups, especially solvable graphs which is newly defined in this paper.A solvable graph of a finite simple group has a striking feature, that is, connected and incomplete.In the last section we give some applications of solvable graphs.We use the classification of finite simple groups in order to prove main theorems.