| 有限循环群的刻划以及子群的性质研究 |
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| 引用本文： | 杨文晴.有限循环群的刻划以及子群的性质研究[J].广西师范学院学报(自然科学版),2004,21(3):98-99,110. |
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| 作者姓名： | 杨文晴 |
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| 作者单位： | 广西工业职业技术学院,广西,南宁,530001 |
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| 摘 要： | 该文从满足方程x^m=e的元素的个数的角度刻划了有限循环群的构造而且就子群的数目及唯一性等方面论述了有限循环群的子群的重要性质．
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| 关 键 词： | 循环群 子群 群的阶 元素的阶 生成元 |
| 文章编号： | 1002-8743(2004)03-0098-02 |
Characterization of Finite Cyclic Group and Research in the Properties of Cyclic Subgroup |
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| YANG Wen-qing.Characterization of Finite Cyclic Group and Research in the Properties of Cyclic Subgroup[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2004,21(3):98-99,110. |
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| Authors: | YANG Wen-qing |
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| Abstract: | :The cyclic group being known as an important type of group,it plays the role of building blocks for all finite Abelian groups in much the same way that primes are the building blocks for the integers.In this paper the finite cyclic group was characterized by using the equation x~m=e and the properties of cyclic subgroup was discussed. |
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| Keywords: | cyclic group subgroup order of group order of element generator |
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