子群阶的集合对单群的影响

The Influence of the Set of Orders of Subgroups on Simple Groups

主要讨论子群的阶的集合对单群的影响,并用子群的阶的集合刻画部分单群,得出若两个单群的子群的阶的集合相等,则这两个单群同构.

The paper discussed the influence of the set of orders of subgroups on simple groups,and used the set of orders of subgroups to depict some simple groups.And the result is that the two simple groups are isomorphic if the sets of orders of subgroups of two simple groups are equal.