| THE RANK AND COEXPONENT OF A FINITE P-GROUP |
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| 引用本文： | Yujie MA. THE RANK AND COEXPONENT OF A FINITE P-GROUP[J]. 系统科学与复杂性, 2006, 19(1): 88-92. DOI: 10.1007/s11424-006-0088-2 |
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| 作者姓名： | Yujie MA |
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| 作者单位： | Key Laboratory of Mathematics Mechanization. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | The author is partially supported by the National Key Basic Research Science Foundation of China （No, 2004CB318000） and the National Natural Science Foundation of China （No, 10301032）. |
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| 摘 要： | In this paper,we present a sharp bound for the rank of a finite p-group in terms of itscoexponent.As to finite p-groups with p odd,we also give a sufficient condition for which the normalrank is equal to its rank.
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| 关 键 词： | 余指数 有限群 秩 P-群 |
| 收稿时间： | 2004-05-25 |
| 修稿时间： | 2004-05-25 |
The Rank and Coexponent of a Finite P-Group |
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| Yujie Ma. The Rank and Coexponent of a Finite P-Group[J]. Journal of Systems Science and Complexity, 2006, 19(1): 88-92. DOI: 10.1007/s11424-006-0088-2 |
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| Authors: | Yujie Ma |
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| Affiliation: | (1) Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
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| Abstract: | In this paper, we present a sharp bound for the rank of a finite p-group in terms of its coexponent. As to finite p-groups with p odd, we also give a sufficient condition for which the normal rank is equal to its rank. |
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| Keywords: | Coexponent finite p-group rank. |
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