Irreducible p-constant characters of finite reflection groups

被引：1

作者：

Pellegrini, Marco Antonio ^{[1
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy

来源：

JOURNAL OF GROUP THEORY | 2017年 / 20卷 / 05期

关键词：

D O I：

10.1515/jgth-2016-0059

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complex irreducible character of a finite group G is said to be p-constant, for some prime p dividing the order of G, if it takes constant value at the set of p-singular elements of G. In this paper we classify irreducible p-constant characters for finite reflection groups, nilpotent groups and complete monomial groups. We also propose some conjectures about the structure of the groups admitting such characters.

引用

页码：911 / 923

页数：13

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