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.
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页码：4866 / 4870
页数：5
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