c-可补子群对有限群结构的影响  

The Influence of c-Supplemented Subgroups on the Structure of Finite Groups

作　　者：潘虹[1] 周强[1] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2015年第4期469-471,共3页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11201400);河南省自然科学基金项目(142300410433)

摘　　要：利用子群的c-可补性质,讨论了群的幂零性,得到了有限群成为幂零群的几个充分条件,并推广了一些相关的结果.The nilpotenty of finite groups was investigated by using the properties of c-supplemented subgroups.Some sufficient conditions for the finite groups being nilpotent groups were obtained,and some previously known results are generalized.

关 键 词：C-可补子群 幂零群 有限群 

分 类 号：O152.1[理学—数学]