On distinct character degrees

被引：3

作者：

Loukaki, Maria ^{[1
]}

机构：

[1] Univ Crete, Dept Appl Math, GR-71409 Iraklion, Greece

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2007年 / 159卷 / 01期

关键词：

D O I：

10.1007/s11856-007-0039-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Berkovich, Chillag and Herzog characterized all finite groups G in which all the nonlinear irreducible characters of G have distinct degrees. In this paper we extend this result showing that a similar characterization holds for all finite solvable groups G that contain a normal subgroup N, such that all the irreducible characters of G that do not contain N in their kernel have distinct degrees.

引用

页码：93 / 107

页数：15

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