有限单群G称为完全素图群,当且仅当所有连通分支的素图都是完全图,即是说若r,s∈πi(i=1,2,…),则r~s.利用有限单群素图的连接准则对所有满足5∈π(G)且dG(5)=1的完全素图群G进行了分类.
A finite simple group G is called a group with complete prime graph,if and only if all the connected components of its prime graph are cliques.That is to say if r,s∈πi(i=1,2,…).In this paper,we clssify the complete prime graph group Gsatisfying 5∈π(G)and dG(5)=1by using an adjacency for a finite simple group.