关于有限群的自同构群
On Automorphism Groups of Finite Groups
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摘要: 分析了自同构群是循环群或三次对称群S3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S3的有限群的阶数形式及相关的一些结果。Abstract: 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.