有交换Sylow q-子群的p3q3阶群的分类

摘要

设p,q为奇素数,且p>q,而G是p3q3阶群.当G的Sylow q-子群是初等因子为(q2,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 p3q3.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 (q2,q).