Monomial characters and the index of the Fitting subgroup of a solvable group

被引：0

作者：

Li, Jinbao ^{[1
]}

Bian, Fang ^{[2
,3
]}

Zhang, Xuning ^{[2
]}

机构：

[1] Suqian Univ, Dept Math, Jiangsu, Peoples R China

[2] China Three Gorges Univ, Coll Sci, Yichang, Hubei, Peoples R China

[3] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 11期

关键词：

Character degrees; monomial characters; solvable groups; ORBIT SIZES;

D O I：

10.1080/00927872.2023.2222396

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we strengthen a result of Moreto and Wolf on the divisibility of the degree of a product of irreducible characters by the index of the Fitting subgroup in a solvable group. We also strengthen some results about Gluck's conjecture to monomial characters.

引用

页码：4866 / 4870

页数：5

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