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

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.