一类有初等交换Sylow p-子群的p3q3阶群

陈松良

doi:10.7540/j.ynu.20140515

陈松良. 一类有初等交换Sylow p-子群的p3q3阶群[J]. 云南大学学报(自然科学版), 2015, 37(3): 329-334. doi: 10.7540/j.ynu.20140515

引用本文:

陈松良. 一类有初等交换Sylow p-子群的p3q3阶群[J]. 云南大学学报(自然科学版), 2015, 37(3): 329-334. doi: 10.7540/j.ynu.20140515

CHEN Song-liang. A kind of the finite groups of order p3q3 with elementary Sylow p-subgroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(3): 329-334. DOI: 10.7540/j.ynu.20140515

Citation:

CHEN Song-liang. A kind of the finite groups of order p3q3 with elementary Sylow p-subgroups[J]. Journal of Yunnan University: Natural Sciences Edition, 2015, 37(3): 329-334. DOI: 10.7540/j.ynu.20140515

一类有初等交换Sylow p-子群的p3q3阶群

陈松良

A kind of the finite groups of order p3q3 with elementary Sylow p-subgroups

CHEN Song-liang

摘要

摘要: 设p,q为奇素数,且p＞q,而G是p3q3阶群.当G的Sylow p-子群为初等交换群而Sylow q-子群为指数是q2的非交换群时,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.

Abstract: 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,in this paper,we discuss the isomorphic classification of G and determine their structures whenever their Sylow p-subgroups are elementary and their Sylow q-subgroups are nonabelian with exponents q2.

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