| 一类不能作为自同构群的有限群 |
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| 引用本文： | 班桂宁,俞曙霞.一类不能作为自同构群的有限群[J].数学学报,1996,39(6):848-851. |
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| 作者姓名： | 班桂宁 俞曙霞 |
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| 作者单位： | 广西大学数学与信息科学系 |
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| 摘 要： | 本文证明了阶小于ｐ９的有限交换ｐ－群不能作为有限群的自同构群，从而推进了ＭａｃＨａｌｅ的结果．
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| 关 键 词： | 有限群，p－群，自同构，交换群，定义关系 |
| 收稿时间： | 1994-9-13 |
| 修稿时间： | 1996-2-7 |
The Finite Groups Which Are Rarely Automorphism Groups |
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| Ban Guining,Yu ShuXia.The Finite Groups Which Are Rarely Automorphism Groups[J].Acta Mathematica Sinica,1996,39(6):848-851. |
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| Authors: | Ban Guining Yu ShuXia |
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| Institution: | Ban Guining;Yu ShuXia(Department of Mathematics,Guangxi University,Nanning 530004,China) |
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| Abstract: | In this paper,we will show that the Abelian p-groups of order less than p9 cannot occurs as the full automorphisms groups of a finite group. This result also extends MacHale's result in 1983. |
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| Keywords: | Finite group p-group Automorphism Defining relation |
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