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
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摘要: 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.Abstract: 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 G satisfying 5∈π(G) and dG(5)=1 by using an adjacency for a finite simple group.
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