Finite groups with very few character values

被引：3

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

页码：658 / 661

页数：4

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