C-正规子群的若干等价条件  

Some Equivalent Conditions for C-Normal Subgroups

作　　者：薛瑞[1] 陈旭生[1] 

机构地区：[1]信阳师范学院计算机与信息技术学院,河南信阳464000

出　　处：《商丘职业技术学院学报》2009年第5期8-9,共2页JOURNAL OF SHANGQIU POLYTECHNIC

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)

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,这两个概念又有一些相似之处.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.A group H of G is called c-normal in G if there exists a normal subgroup K of G such that G=HK and H∩KHG,where HG=∩g∈GHg is the maximal normal subgroup of G which is contained in H.A subgroup H of G is called weakly c-normal in G if there exists a subnormal subgroup K of G such that G=HK and H∩KHG.Some equivalent conditions between c-normality and weakly c-normality 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]