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浙江大学学报（理学版）
浙江大学学报（理学版）  2019, Vol. 46 Issue (5): 526-528    DOI: 10.3785/j.issn.1008-9497.2019.05.002
数学与计算机科学     
弱M-可补子群对合成因子的影响
高百俊1, 张佳2, 朱振扬3
1.伊犁师范大学 数学与统计分院，新疆 伊宁 835000
2.西华师范大学 数学与信息学院， 四川南充 637009
3.扬州大学 数学与科学学院，江苏 扬州 225000
The influence of weakly M-supplemented subgroups on composition factors of finite groups.
GAO Baijun1, ZHANG Jia2, ZHU Zhenyang3
1.School of Mathematics and Statistics, Yili Normal University, Yining 835000, Xinjiang Uygur Autonomous Region, China
2.School of Mathematics and Information,China West Normal University , Nanchong 637009,Sichuan Province, China
3.School of Mathematical Sciences, Yangzhou University, Yangzhou 225000, Jiangsu Province,China
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摘要： 设G是有限群，P是G的一个Sylow p-子群，1<≤P。考虑|G|的素因子5和7，利用P的每一个阶为|D|的子群H在G中的弱M-可补性质，进一步探究了G的合成因子的结构。
关键词： 弱M-可补子群;  Sylow p-子群;  合成因子    
Abstract: Let G be a finite group and P be a Sylow p-subgroup of G, where P has a subgroup D with 1<D≤ P. In this paper, considering prime divisors 5 and 7 of |G|, we will investigate the structure of the composition factors of G by using the weakly M- supplemented property of every subgroups H of P with |H| = |D|.
Key words: weakly M- supplemented subgroups    Sylow p-subgroup    composition factor
收稿日期: 2018-01-09 出版日期: 2019-09-25
CLC:  O 152.1  
基金资助: 新疆维吾尔自治区高校科研计划项目(XJEDU2017M034).
通讯作者: ORCID: http://orcid.org/ 0000-0003-1860-5617     E-mail: zhangjia198866@126.com.
作者简介: 高百俊(1980—)，ORCID: http://orcid.org/0000-0003-1297-2790，女，博士，副教授，主要从事有限群论研究, E-mail:dqgbj2008@163.com.
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引用本文:

高百俊, 张佳, 朱振扬. 弱M-可补子群对合成因子的影响[J]. 浙江大学学报（理学版）, 2019, 46(5): 526-528.

GAO Baijun, ZHANG Jia, ZHU Zhenyang. The influence of weakly M-supplemented subgroups on composition factors of finite groups.. Journal of Zhejiang University (Science Edition), 2019, 46(5): 526-528.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2019.05.002    或    https://www.zjujournals.com/sci/CN/Y2019/V46/I5/526

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