ZEROS OF BRAUER CHARACTERS

被引：0

作者：

Wang Huiqun ^{[1
]}

Chen Xiaoyou ^{[2
]}

Zeng Jiwen ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Henan Univ Technol, Coll Sci, Zhengzhou 450001, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 04期

关键词：

vanishing regular element; Brauer character; AUTOMORPHISM-GROUPS; ORBITS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors obtain a sufficient condition to determine whether an element is a vanishing regular element of some Brauer character. More precisely, let G be a finite group and p be a fixed prime, and H = G'O-p' (G); if g is an element of G(0) - H-0 with o(gH) coprime to the number of irreducible p-Brauer characters of G, then there always exists a nonlinear irreducible p-Brauer character which vanishes on g. The authors also show in this note that the sums of certain irreducible p-Brauer characters take the value zero on every element of G(0) - H-0.

引用

页码：1435 / 1440

页数：6

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