弱M-可补子群对合成因子的影响  

The influence of weakly M-supplemented subgroups on composition factors of finite groups

作　　者：高百俊 张佳 朱振扬 GAO Baijun;ZHANG Jia;ZHU Zhenyang(School of Mathematics and Statistics,Yili Normal University,Yining 835000,Xinjiang Uygur Autonomous Region,China;School of Mathematics and Information,China West Normal University,Nanchong 637009,Sichuan Province,China;School of Mathematical Sciences,Yangzhou University,Yangzhou 225000,Jiangsu Province,China)

机构地区：[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

出　　处：《浙江大学学报（理学版）》2019年第5期526-528,536,共4页Journal of Zhejiang University（Science Edition）

基　　金：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<D≤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。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 Hof Pwith|H|=|D|.

关 键 词：弱M-可补子群 SYLOW P-子群 合成因子 

分 类 号：O152.1[理学—数学]