某些具有完全素图的有限单群的分类

The Classificatong of Some Finite Simple Groups with Complete Graphs

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.