| 特征标表各列零点个数不超过2个的有限群 |
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| 引用本文： | 徐海静,张广祥,陈贵云.特征标表各列零点个数不超过2个的有限群[J].数学年刊A辑(中文版),2013,34(5):513-520. |
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| 作者姓名： | 徐海静 张广祥 陈贵云 |
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| 作者单位： | 西南大学数学与统计学院, 重庆 400715.;西南大学数学与统计学院, 重庆 400715.;西南大学数学与统计学院, 重庆 400715. |
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| 基金项目： | 国家自然科学基金(No.11171364, No.11271301), 中央高校基本科研业务费专项资金(No.XDJK2009C074)和西南大学研究生创新基金(No.ky2009013) |
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| 摘 要： | 继续考虑特征标的零点对有限群结构的影响, 并给出了特征标表中
每列至多有两个零点的有限群的分类,从而完成了特征标表中每列至多
$p$ ($p$是群的阶的最小素因子)个零点的有限群的完全分类.
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| 关 键 词： | 特征标表 特征标的零点 共轭类 有限群 分类 |
On Finite Groups with at Most 2 Zeros in Each Column of Their Character Tables |
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| XU Haijing,ZHANG Guangxiang and CHEN Guiyun.On Finite Groups with at Most 2 Zeros in Each Column of Their Character Tables[J].Chinese Annals of Mathematics,2013,34(5):513-520. |
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| Authors: | XU Haijing ZHANG Guangxiang and CHEN Guiyun |
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| Institution: | School of Mathematics and Statistics, Southwest University,
Chongqing 400715, China.;School of Mathematics and Statistics, Southwest University,
Chongqing 400715, China.;School of Mathematics and Statistics, Southwest University,
Chongqing 400715, China. |
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| Abstract: | The authors continue to classify the finite groups by investigating the zeros in
columns of their character tables and obtain the classification of the finite groups with at
most two zeros in each column of their character tables, which completes the classification
of the finite groups having at most p zeros in each column of their character tables, where
p is the smallest prime divisor of the order of a group. |
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| Keywords: | Character table Character zero Conjugacy class Finite group Classification |
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