| 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,2013,34(5):513~520 |
| 特征标表各列零点个数不超过2个的有限群 |
| On Finite Groups with at Most 2 Zeros in Each Column of Their Character Tables |
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| DOI： |
| 中文关键词: 特征标表, 特征标的零点, 共轭类, 有限群, 分类 |
| 英文关键词:Character table, Character zero, Conjugacy class, Finite group,
Classification |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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