| 含p^n—2阶元的P^n阶p—群的自同构群 |
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| 引用本文： | 肖长城.含p^n—2阶元的P^n阶p—群的自同构群[J].数学季刊,1992,7(2):16-19. |
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| 作者姓名： | 肖长城 |
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| 作者单位： | 广西民族学院数学系 |
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| 摘 要： | 一个有限p-群G称为一个LA-群,如果当G是非循环的且|G|>p~2时有|G|/|Aut(G)|,本文证明了一个含有p~(n-2)阶元的p~n阶p-群是一LA-群。
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| 关 键 词： | P^n阶p－群 自同构群 LA－群 循环 Frattini子群 阶 中心 |
The Automorphism Group of a p-Group of Order p~n with an Element of Order p~(n-2) |
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| Xiao Changcheng.The Automorphism Group of a p-Group of Order p~n with an Element of Order p~(n-2)[J].Chinese Quarterly Journal of Mathematics,1992,7(2):16-19. |
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| Authors: | Xiao Changcheng |
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| Abstract: | A finite p-group G is called an LA-group if |G|||Aut(G)| when G is non-cyclic and |G|>p~2. This paper shows that a p-group of order p~n with an element of order p~(n-2) is an LA-group. |
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| Keywords: | LA-group finite p-group atomorphism group |
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