On distinct character degrees

被引:3
|
作者
Loukaki, Maria [1 ]
机构
[1] Univ Crete, Dept Appl Math, GR-71409 Iraklion, Greece
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.
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页码:93 / 107
页数:15
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