| 算术p-群的自同构群 |
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| 引用本文： | 兰海峰,靳平.算术p-群的自同构群[J].太原科技大学学报,2007,28(5):356-358. |
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| 作者姓名： | 兰海峰 靳平 |
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| 作者单位： | 山西大学数学科学学院,太原,030006 |
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| 摘 要： | 对任意奇素数p-引入了一类所谓的算术p-群，并确定了其自同构群和外自同构群，所得结果推广具有一个循环极大子群的p-群的相应结论。
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| 关 键 词： | 算术p-群 自同构群 外自同构群 |
| 文章编号： | 1673-2057（2007）05-0356-03 |
| 修稿时间： | 2007-04-21 |
Automorphism Groups of Arthmetic p-groups |
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| LAN Hai-feng,JIN Ping.Automorphism Groups of Arthmetic p-groups[J].Journal of Taiyuan University of Science and Technology,2007,28(5):356-358. |
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| Authors: | LAN Hai-feng JIN Ping |
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| Institution: | School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China |
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| Abstract: | For any odd prime number p, the so-called arithmetic p-groups are introduced in this paper. And their automorphism group sand outer automorphism groups are determined. The present work extends the corresponding results of finite p-groups with a cyclic maximal subgroup. |
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| Keywords: | arithmetic p-group automorphism group outer automorphism group |
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