ON GROUPS HAVING A p-CONSTANT CHARACTER

被引：0

作者：

Dolfi, Silvio ^{[1
]}

Pacifici, Emanuele ^{[2
]}

Sanus, Lucia ^{[3
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

[2] Univ Milan, Dipartimento Matemat F Enriques, Via Saldini 50, I-20133 Milan, Italy

[3] Univ Valencia, Dept Matemat, Fac Matemat, Valencia 46100, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 01期

关键词：

IRREDUCIBLE CHARACTERS;

D O I：

10.1090/proc/15256

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group, and p a prime number; a character of G is called p-constant if it takes a constant value on all the elements of G whose order is divisible by p. This is a generalization of the very important concept of characters of p-defect zero. In this paper, we characterize the finite p-solvable groups having a faithful irreducible character that is p-constant and not of p-defect zero, and we will show that a non-p-solvable group with this property is an almost-simple group.

引用

页码：107 / 120

页数：14

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