具有弱正规性的有限群  

FINITE GROUPS WITH WEAK NORMALITY

作　　者：薛海波[1] 张钰[2] 吕恒[2] XUE Hai-bo;ZHANG Yu;LV Heng(College of Electromechanical and Information Engineering,Chongqing College of Humanities,Science and Technology,Hechuan 401524,China;School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]重庆人文科技学院机电与信息工程学院,重庆合川401524 [2]西南大学数学与统计学院,重庆400715

出　　处：《数学杂志》2018年第6期1091-1096,共6页Journal of Mathematics

基　　金：国家自然科学基金资助项目(11471266);中央高校基本科研业务专项基金资助项目(XDJK2015B033)

摘　　要：本文研究了一类有限可解MC-群G.若群G的任意非正规循环子群H,都存在一个素数p使得|G:H^G||p,则群G被称为MC-群.利用该群的可解性,获得了非幂零可解MC-群的详细分类.In the paper,we study theˉnite soluble MC-groups.The group G is called an MC-group if there exists a prime p such that jG:HGj j p for each non-normal cyclic subgroup H of G.By using the solvability of G,we give the classiˉcation of theˉnite soluble non-nilpotent MC-groups.

关 键 词：有限P-群 MC-群 可解群 

分 类 号：O152.1[理学—数学]