| 一种求解有限循环群的子群的快速算法--平衡法 |
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| 引用本文： | 邹昌陆.一种求解有限循环群的子群的快速算法--平衡法[J].贵州工业大学学报(自然科学版),2005,34(4):6-10. |
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| 作者姓名： | 邹昌陆 |
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| 作者单位： | 贵州大学信息工程学院,贵州,贵阳,550003 |
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| 摘 要： | 对有限循环群的性质和群的分解进行了研究后，给出了一种求解有限循环群的子群的平衡法及实现程序和操作方法。与传统方法相比，该方法不仅简单、计算量少，而且操作性强，能求出有限循环群的所有子群及相应元素。
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| 关 键 词： | 循环群 拉格朗日定理 子群 同构 |
| 文章编号： | 1009-0193（2005）04-0006-05 |
| 收稿时间： | 2005-03-17 |
| 修稿时间： | 2005-03-17 |
A Quick Algorithm for Solving the Subgroup of Finite Cyclic Group-The Balancing Algorithm |
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| ZOU Chang-lu.A Quick Algorithm for Solving the Subgroup of Finite Cyclic Group-The Balancing Algorithm[J].Journal of Guizhou University of Technology(Natural Science Edition),2005,34(4):6-10. |
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| Authors: | ZOU Chang-lu |
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| Abstract: | The article studies the property of the finite cyclic group and the decomposition of group, giving out a kind of balancing algorithm of the subgroup that solve the finite cyclic group and implementation program and operation method. Compared with the traditional algorithm, that algorithm is not only simple with little calculation, and the maneuverability is strong, can solve for all subgroup of the finite cycles and its element. |
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| Keywords: | group of cycles Lagrange's theorem subgroup isomorphism |
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