| 群元素的共轭类及其代数性质 |
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| 引用本文： | 李桂英,任北上.群元素的共轭类及其代数性质[J].广西师范学院学报(自然科学版),2005,22(3):102-105. |
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| 作者姓名： | 李桂英 任北上 |
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| 作者单位： | 广西师范学院数学与计算机科学系,广西南宁530001 |
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| 基金项目： | 广西自然科学基金（0447038） |
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| 摘 要： | 群中元素间的共轭关系是群结构理论中一类常见的等价关系,因此对共轭元素类的研究自然是探讨群的结构问题时所必须要面对的.该文用较新颖思路和手法对共轭类的性质和特点展开了系统的讨论并得到了一些有意义的结果.
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| 关 键 词： | 群元素的共轭元素类 正规化子 陪集 中心化子 |
| 文章编号： | 1002-8743（2005）03-0102-04 |
| 收稿时间： | 2005-03-16 |
| 修稿时间： | 2005年3月16日 |
Conjugate- classes and Algebraic Properties of a Group Element |
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| LI Gui-ying, REN Bei-shang.Conjugate- classes and Algebraic Properties of a Group Element[J].Journal of Guangxi Teachers Education University:Natural Science Edition,2005,22(3):102-105. |
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| Authors: | LI Gui-ying REN Bei-shang |
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| Institution: | Department of Mathematics and Computer Science, Guangxi Teachers Education University, Nanning 530001, China |
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| Abstract: | The conjugate relation of the group elements gi =g^-1gjg is a common equivalence relation in the structure theories of a group, so that research in to the conjugate- class of a group element Cg, is a group structure problems to be faced with. In this paper, the properties and characteristics of conjugate- classes have been discussed by using the more novel way of thinking and some meaningful results have been got. |
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| Keywords: | group conjugate-classes of a element norrnalizer coset centralizer |
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