Finite groups with very few character values

被引：4
|
作者：
Sakurai, Taro [1 ]
机构：
[1] Chiba Univ, Grad Sch Sci, Dept Math & Informat, Chiba, Japan
来源：
COMMUNICATIONS IN ALGEBRA | 2021年 / 49卷 / 02期
关键词：
centralizers of involutions; character values; finite group; generalized dihedral group; irreducible character;
D O I：
10.1080/00927872.2020.1813747
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Finite groups with very few character values are characterized. The following is the main result of this article: A finite non-abelian group has precisely four character values if and only if it is the generalized dihedral group of a non-trivial elementary abelian 3-group. The proof involves the analysis of the centralizers of involutions.
引用
收藏
页码：658 / 661
页数：4
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