主要讨论了散在单群的自同构群是否可以用阶分量进行刻画.从散在单群的自同构群的结构入手,通过讨论阶分量,按散在单群的自同构群的素图分支数分类讨论,证明了除J2和Mcl外,散在单群的自同构群可由阶分量刻画.
In this paper,we show that whether all automorphismgroups(except for J2,Mcl) of the sporadic simple groups can be characterized by their order components.By starting at structure of automorphism groups of the sporadic simple groups,and discussing the order component in two aspects,we prove that all automorphismgroups(except for J2,Mcl) of the sporadic simple groups are characterized by their order components.