L_2(q)的一个物征性质(英文)

A Characterization Theorem for L_2(q)

用极大交换子群阶的集合得到关于群的一些性质。证明了单群L2(q),q≡3,5(mod8)在同构的意义下,能被它的极大交换子群阶的集合唯一确定。

The information of the structure of a group is obtained from the set of orders of its maximal Abelian sub- groups. Motivated by this idea the group La（q）, q≡3,5（ rood 8） can be uniquely determined up to the isomorphism by the set of orders of its maximal Abelian subgroups.