连通交错单群的素图刻画

A Characterization of Connected Alternating Simple Group by Its Prime Graph

设G是个有限群,给出了群G的素图.利用素图的性质,首次对连通的有限单群进行刻画,得到了与交错单群Alt22的素图一样的有限群的结构.

Let G be a finite group,the prime graph GK（G） of G is defined.By prime graph,a finite simple group with connected prime graph is characterized firstly,and the construction of finite group G with the same prime graph as alternating simple group Alt22 is obtained.