| 有限群特征标的核与中心 |
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| 引用本文： | 王慧群,郝成功.有限群特征标的核与中心[J].山西大学学报(自然科学版),2006,29(2):123-124. |
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| 作者姓名： | 王慧群 郝成功 |
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| 作者单位： | 山西大学,数学科学学院,山西,太原,030006 |
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| 摘 要： | 探讨了特征标的核与特征标的中心之间的一些关系,并考察了它们对群结构的影响,特别是得到了有限群为交换群的一个特征标刻划.
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| 关 键 词： | 特征标的核 特征标的中心 有限群 |
| 文章编号： | 0253-2395(2006)02-0123-02 |
| 收稿时间： | 2005-06-29 |
| 修稿时间： | 2005年6月29日 |
Kernels and Centers of Characters of Finite Groups |
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| WANG Hui-qun,HAO Cheng-gong.Kernels and Centers of Characters of Finite Groups[J].Journal of Shanxi University (Natural Science Edition),2006,29(2):123-124. |
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| Authors: | WANG Hui-qun HAO Cheng-gong |
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| Institution: | School of Mathematical Sciences, Shanxi University, Taiyuan 030006, China |
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| Abstract: | The relationship between the kernels and the centers of characters in finite groups was studied,and the influence of the kernels and the centers of characters on the structure of groups was discussed.Moreover,a characterization of character theory for a finite group to be commutative was obtained. |
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| Keywords: | kernel of characters center of characters finite group |
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