On generalized characters of nilpotent groups

被引：2

作者：

Robinson, Geoffrey R. ^{[1
]}

机构：

[1] Univ Aberdeen, Dept Math Sci, Aberdeen AB24 3UE, Scotland

来源：

JOURNAL OF ALGEBRA | 2007年 / 308卷 / 02期

关键词：

D O I：

10.1016/j.jalgebra.2006.04.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the results of [G.R. Robinson, More on bounds on norms of generalized characters with applications to p-local bounds and blocks, Bull. London Math. Soc. 37 (4) (2005) 555-565] to a general finite nilpotent group, rather than a p-group. This enables us to obtain bounds on the number of complex irreducible characters of a finite group G which do not vanish identically on all non-identity elements of a nilpotent subgroup N. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：822 / 827

页数：6