C-正规子群的若干等价条件  

Some Equivalent Conditions for c-normal Subgroups

作　　者：薛瑞[1] 雷梁[1] 

机构地区：[1]信阳师范学院计算机与信息技术学院,信阳464000

出　　处：《科学技术与工程》2009年第19期5747-5748,共2页Science Technology and Engineering

基　　金：河南省科技计划基金项目(0624220057);信阳师范学院青年骨干教师计划基金项目(20060503)资助

摘　　要：c-正规子群和弱c-正规子群是有限群的两个重要的概念。子群的弱c-正规性要比子群的c-正规性弱,利用子群的c-正规性已得出了群的很多重要的性质。但目前对弱c-正规子群的研究还较少,通过c-正规子群与弱c-正规子群对有限群结构的影响,得出c-正规子群与弱c-正规子群等价的一些充分条件。c-normal subgroups and weakly c-normal subgroups play an important role in finite groups. A c-normal subgroup of G must be a weakly c-normal subgroup, but the converse is not ture in general. Many important results about finite group have been abtained by use the c-normality of subgroups. But the weakly c-normal subgroups are not the case, through the impact of c-normal subgroups and weakly c-normal subgroups on the structure of finite groups , some sufficient conditions for a weakly c-normal subgroup to be c-normal were given.

关 键 词：C-正规子群 弱C-正规子群 可解 有限群 

分 类 号：O152.1[理学—数学]