A Note on the Groups That are Automorphism Groups

Chinese Quarterly Journal of Mathematics ›› 1999, Vol. 14 ›› Issue (4): 56-61.

A Note on the Groups That are Automorphism Groups

广西大学数学系广西南宁530004,华南理工大学自动控制工程系广东广州510640,暨南大学数学系广东广州510632

Received:1998-04-07 Online:1999-12-30 Published:2024-09-05
About author:BAN Gui-ning（1962-），male，native of Shanglin，Guangxi，M aster of Science，professor of Guangxi Uinversity，engages in finite groups．
Supported by:
Supported by NNSF of China（19861001） and NSF of Guangdong Province（ D32450 K245）．

Abstract

Abstract: 设p 为奇素数,本文给出了中心循环中心商的阶小于p⁵的有限p-群的完全分类并且给出它们中无对合自同构的群的自同构群的阶.由此,我们找到了能作为有限群自同构群的p^mqⁿ阶群和pⁿ阶群,统一和推广了Curran 在1988年和Caranti与Scoppola 在1990年的文章的所有结果.

Key words: 有限群, p-群, 自同构, 定义关系, 对合, ,

CLC Number:

O152

BAN Gui-ning , PANG Su-lin. A Note on the Groups That are Automorphism Groups [J]. Chinese Quarterly Journal of Mathematics, 1999, 14(4): 56-61.

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A Note on the Groups That are Automorphism Groups

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