Rational irreducible characters and rational conjugacy classes in finite groups

被引：0

作者：

Navarro, Gabriel ^{[1
]}

Tiep, Pham Huu ^{[2
]}

机构：

[1] Univ Valencia, Fac Matemat, Valencia 46100, Spain

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 360卷 / 05期

关键词：

rational irreducible character; rational conjugacy class;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that a finite group G has two rational-valued irreducible characters if and only if it has two rational conjugacy classes, and determine the structure of any such group. Along the way we also prove a conjecture of Gow stating that any finite group of even order has a non-trivial rational-valued irreducible character of odd degree.

引用

页码：2443 / 2465

页数：23

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