Classification of solvable groups possessing a unique nonlinear non-faithful irreducible character

被引:8
|
作者
Saeidi, Amin [1 ]
机构
[1] Kharazmi Univ, Dept Math, Tehran, Iran
来源
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2014年 / 12卷 / 01期
关键词
Minimal normal subgroups; Non-faithful characters; Frobenius groups;
D O I
10.2478/s11533-013-0327-4
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we study finite groups possessing exactly one nonlinear non-faithful irreducible character. Our main result is to classify solvable groups that satisfy this property. Also, we give examples to show that these groups need not to be solvable in general.
引用
收藏
页码:79 / 83
页数:5
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