浅谈正规子群的判定条件  

Discriminant Condition for Normal Subgroup

作　　者：陈惠汝[1] 蓝新华[2] 

机构地区：[1]黄冈师范学院数学与信息科学学院,湖北黄州438000 [2]贺州学院数学系,广西贺州542800

出　　处：《绵阳师范学院学报》2010年第2期22-24,共3页Journal of Mianyang Teachers＇ College

摘　　要：正规子群的判定在群论中具有重要的实际意义,判断子群是否为正规子群有多种方法。该文在已有正规子群判定结论和方法的基础上,从正规子群的定义出发给出了几个新的正规子群的判定条件,使得正规子群的判定简单易行.The judgment of normal subgroup is of important practical significance in the group theory. There are various methods to judge whether a subgroup is normal subgroup or not. Based on the existed conclusion and methods for the determination of normal subgroups, this paper presents several new methods by using the definition of normal subgroup.

关 键 词：群 子群 正规子群 

分 类 号：O171[理学—数学]