Heights of characters in blocks of p-solvable groups

被引：8
|
作者：
Moretó, A [1 ]
Navarro, G [1 ]
机构：
[1] Univ Valencia, Dept Algebra, E-46100 Valencia, Spain
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2005年 / 37卷
关键词：
D O I：
10.1112/S0024609305004236
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, it is proved that if B is a Brauer p-block of a p-solvable group, for some odd prime p, then the height of any ordinary character in B is at most 2b, where p(b) is the largest degree of the irreducible characters of the defect group of B. Some other results that relate the heights of characters with properties of the defect group are obtained.
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页码：373 / 380
页数：8
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