DEGREES OF BRAUER CHARACTERS AND NORMAL SYLOW p-SUBGROUPS

被引：0

作者：

Chen, Xiaoyou ^{[1
]}

Lewis, Mark L. ^{[2
]}

机构：

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

[2] Kent State Univ, Dept Math Sci, Kent, OH 44242 USA

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 102卷 / 02期

关键词：

Brauer character; monomial character; character degree; Sylow subgroup;

D O I：

10.1017/S0004972719001291

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime, G a solvable group and P a Sylow p-subgroup of G. We prove that P is normal in G if and only if phi(1)(2)(p) divides vertical bar G : ker(phi)vertical bar(p) for all monomial monolithic irreducible p-Brauer characters phi of G.

引用

页码：237 / 239

页数：3

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