| Abel群中阶为定数的元素的个数 |
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| 引用本文： | 汪杏枝.Abel群中阶为定数的元素的个数[J].湖北师范学院学报(哲学社会科学版),1993(6). |
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| 作者姓名： | 汪杏枝 |
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| 摘 要： | 本文主要给出了Abel群中阶为定数的元素的个数的一个公式,完全解决了有限生成Abel群中l阶元的个数的计算以及存在l阶元的条件。
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| 关 键 词： | 有限生成Abel群 初等因子 不变因子 扭子群 |
THE NUMBER OF ELEMENT OF L ORDER IN ABELIAN GROUR |
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| Wang Xingzhi.THE NUMBER OF ELEMENT OF L ORDER IN ABELIAN GROUR[J].Journal of Hubei Normal University(Philosophy and Social Science),1993(6). |
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| Authors: | Wang Xingzhi |
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| Institution: | Hubei Normal University |
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| Abstract: | This paper mainly presents a formula as the number of elements of 1 order in abelian group,thus completely solues the problem of calculation of the number of element of 1 order and provides the necessary and sufficient condition for the existing element of 1 order in the finitely generated abelian groups. |
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| Keywords: | finitely generated abelian group elementary divisor invariant factor knot subgroup |
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