吉林大学学报(理学版)

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一类有非交换Sylow p-子群的p4q阶群的分类

欧阳建新1,2, 陈松良1   

  1. 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
  • 收稿日期:2016-08-24 出版日期:2017-03-26 发布日期:2017-03-24
  • 通讯作者: 陈松良 E-mail:chsl_2013@aliyun.com

Classifications of a Kind of p4q Order Groupswith Noncommutative Sylow -pSubgroups

OUYANG Jianxin1,2, CHEN Songliang1   

  1. 1. School of Mathematics and Computer Science, Guizhou Education University, Guiyang 550018, China;
    2. RecearchCenter of Guizhou General Higher Education Institutions on Education Big Data Technology, Guiyang 550018, China
  • Received:2016-08-24 Online:2017-03-26 Published:2017-03-24
  • Contact: CHEN Songliang E-mail:chsl_2013@aliyun.com

摘要: 设p,q为不同的奇素数, G是p4q阶群. 当G的Sylow -p子群是幂零类为2且有非交换极大子群的p4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.

关键词: 同构分类, 群的构造, 有限群

Abstract: Let p,q be odd primes such that p≠q, and G be p4q 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.

Key words: isomorphic classification, structure of group, finite group

中图分类号: 

  • O152.1