Finite groups with real-valued irreducible characters of prime degree

被引:9
|
作者
Dolfi, Silvio [1 ]
Pacifici, Emanuele [2 ]
Sanus, Lucia [3 ]
机构
[1] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy
[2] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy
[3] Univ Valencia, Fac Matemat, Dept Algebra, E-46100 Valencia, Spain
关键词
real characters; character degrees;
D O I
10.1016/j.jalgebra.2008.06.002
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we describe the structure of finite groups whose real-valued nonlinear irreducible characters have all prime degree. The more general situation in which the real-valued irreducible characters of a finite group have all squarefree degree is also considered. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码:2181 / 2195
页数:15
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