弱<italic>M</italic>-可补子群对合成因子的影响 The influence of weakly <italic>M</italic>-supplemented subgroups on composition factors of finite groups.期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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弱M-可补子群对合成因子的影响

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.

作者姓名：	高百俊张佳朱振扬

作者单位：	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

基金项目：	新疆维吾尔自治区高校科研计划项目(XJEDU2017M034).

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
收稿时间：	2018-01-09
The influence of weakly M-supplemented subgroups on composition factors of finite groups.

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

Authors:	GAO Baijun ZHANG Jia ZHU Zhenyang

Institution:	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

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\|.

Keywords:	weakly M- supplemented subgroups Sylow p-subgroup composition factor
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