A Characterization of Almost Simple K-3-groups
A Characterization of Almost Simple K-3-groups
复制标题
几乎简单的 K-3 群的表征
DOI：
10.1007/s10114-015-4438-7
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发表时间：
2015
影响因子：
0.7
通讯作者：
Guiyun Chen
中科院分区：
文献类型：
--
作者：
Yanxiong Yan;Haijing Xu;Guiyun Chen
众所周知，有限群的特征标可以给出群结构的重要信息。本文第三作者还证明了有限单群可以由其特征标表唯一确定。本文研究了如何利用有限几乎单群的特征标表中较少的信息来刻画有限几乎单群，并成功地利用几乎单群的阶和特征标表中至多三个不可约特征标度来刻画了几乎单群.
It is a well-known fact that characters of a finite group can give important information about the group’s structure. Also it was proved by the third author of this article that a finite simple group can be uniquely determined by its character table. Here the authors attempt to investigate how to characterize a finite almost simple group by using less information of its character table, and successfully characterize the almost simpleK3-groups by their orders and at most three irreducible character degrees of their character tables.