有交换Sylow q-子群的p^3q^3阶群的分类

On the Classifications of the Finite Groups of Order p^3q^3 with Abelian Sylow q-Subgroups

设p,q为奇素数,且p>q,而G是p^3q^3阶群.当G的Sylow q-子群是初等因子为(q^2,q)的交换群时,利用有限群的局部分析方法,对群G进行了完全分类并获得了其全部构造.

Let p,q be odd primes such that p > q,and G be finite groups of order p^3q^3. With the help of local analysis of finite groups,the complete classifications of G is discussed and their structures are determined whenever their Sylow q-subgroups are Abelian with elementary divisors( q^2,q).