同态满射下极大正规子群的象与逆象  

Image and Inverse Image of a Maximal Normal Subgroup in the Homomorphism

作　　者：石化国[1] 张隆辉[1] 

机构地区：[1]四川职业技术学院应用数学与经济系,四川遂宁629000

出　　处：《楚雄师范学院学报》2008年第3期9-10,23,共3页Journal of Chuxiong Normal University

摘　　要：本文得到了在同态满射下,极大正规子群的逆象也是极大正规子群,并给出了极大正规子群的象也是极大正规子群的一些等价条件.This article proves that in the homomorphism of G onto G , the inverse image of a maximal normal subgroup in G is also a maximal normal subgroup in G. It also gives some equivalent conditions of that a maximal normal subgroup s image, that is a maximal normal subgroup.

关 键 词：同态满射 极大正规子群 象 逆象 单群 

分 类 号：O153.3[理学—数学]