Normal Sylow subgroups and monomial Brauer characters

被引：0

作者：

Chen, Xiaoyou ^{[1
]}

Miao, Long ^{[2
,3
]}

机构：

[1] Henan Univ Technol, Sch Sci, Zhengzhou 450001, Peoples R China

[2] Hohai Univ, Coll Sci, Nanjing 210098, Peoples R China

[3] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2022年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Solvable group; monomial Brauer character; Sylow subgroup;

D O I：

10.1007/s11464-021-0970-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group, p be a prime divisor of |G|, and P be a Sylow p-subgroup of G. We prove that P is normal in a solvable group G if |G: ker phi|(p ') = phi(1)(p ') for every nonlinear irreducible monomial p-Brauer character phi of G, where ker phi is the kernel of phi and phi(1)(p ') is the p '-part of phi(1).

引用

页码：567 / 570

页数：4

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