关于有限群的自同构群  

On Automorphism Groups of Finite Groups

作　　者：朱雯[1] 何明星[1] 

机构地区：[1]四川工业学院,成都610039

出　　处：《电子科技大学学报》2000年第5期549-551,共3页Journal of University of Electronic Science and Technology of China

摘　　要：分析了自同构群是循环群或三次对称群Ｓ_３的有限群；给出了自同构群是循环群的有限群的分类刻画；证明了自同构群是偱环群的有限群仅有四类，并且是Ｓ_３的有限群的阶数形式及相关的一些结果。In this paper, the finite groups whose automorphism group is a cyclic group or S3 are discussed and the classification of such groups is given. It is proved that the finite groups whose automorphism group is a cyclic group can be classified into four classes.

关 键 词：有限群 自同构群 内自同构群 循环群 

分 类 号：O157[理学—数学]