一类有非交换Sylow p-子群的p^4q阶群的分类  

Classifications of a Kind of p^4q Order Groups with Noncommutative Sylow p-Subgroups

作　　者：欧阳建新[1,2] 陈松良[1] OUYANG Jianxin CHEN Songliang(School of Mathematics and Computer Science, Guizhou Education University, Guiyang 550018, China Recearch Center of Guizhou General Higher Education Institutions on Education Big Data Technology , Guiyang 550018, China)

机构地区：[1]贵州师范学院数学与计算机科学学院,贵阳550018 [2]贵州省普通高等学校教育大数据技术研究中心,贵阳550018

出　　处：《吉林大学学报（理学版）》2017年第2期201-204,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11661023);贵州省科学技术基金(批准号:黔科合J字[2014]2142号);贵州省科技平台及人才团队专项基金(批准号:黔科合平台人才[2016]5609号)

摘　　要：设p,q为不同的奇素数,G是p^4q阶群.当G的Sylowp-子群是幂零类为2且有非交换极大子群的p^4阶p-群时,利用有限群的局部分析方法,对群G进行完全分类,并获得了其全部构造.Let p,q be odd primes such that p≠q,and G be p^4 q order groups.With the help of local analysis method of finite groups,we discussed the complete classification of G and obtained their whole structures whenever their Sylow p-subgroups had a nonabelian maximal subgroup with nilpotent class 2.

关 键 词：有限群 同构分类 群的构造 

分 类 号：O152.1[理学—数学]