2-Length and rational characters of odd degree

被引：5

作者：

Tent, Joan ^{[1
]}

机构：

[1] Univ Valencia, Dept Algebra, Fac Matemat, E-46100 Valencia, Spain

来源：

ARCHIV DER MATHEMATIK | 2011年 / 96卷 / 03期

关键词：

Finite group; 2-length; Rational irreducible character;

D O I：

10.1007/s00013-011-0229-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If G is a finite solvable group of 2-length l, we prove that the number of odd degree rational-valued irreducible characters of G is at least 2 (l) , improving a result of G. Navarro and P. H. Tiep. This bound is best possible, and also provides a new global/local relationship.

引用

页码：201 / 206

页数：6

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