Even Character Degrees and Ito-Michler Theorem

被引：2

作者：

Dong, Shuqin ^{[1
]}

Pan, Hongfei ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math & Stat, Huaian 223300, Jiangsu, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICS AND STATISTICS | 2024年

基金：

中国国家自然科学基金;

关键词：

Character degrees; Sylow subgroups; IRREDUCIBLE CHARACTERS;

D O I：

10.1007/s40304-023-00368-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Irr2(G) be the set of linear and even-degree irreducible characters of a finite group G. In this paper, we prove that G has a normal Sylow 2-subgroup if & sum;(chi is an element of Irr2(G))chi(1)(m)/& sum;(chi is an element of Irr2(G))chi(1)(m-1)<(1+2(m-1))/(1+2(m-2)) for a positive integerm, which is the generalization of several recent results concerning the well-known Ito-Michler theorem.

引用

页数：10

共 6 条

[1]

[Anonymous], 1951, NAGOYA MATH J

[2]

Isaacs I.M., 1976, CHARACTER THEORY FIN

[3] Zeros of real irreducible characters of finite groups [J].

Marinelli, Selena ;

Tiep, Pham Huu .

ALGEBRA & NUMBER THEORY, 2013, 7 (03) :567-593

[4]

MICHLER GO, 1986, LECT NOTES MATH, V1178, P129

[5] Irreducible characters of even degree and normal Sylow 2-subgroups [J].

Nguyen Ngoc Hung ;

Pham Huu Tiep .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2017, 162 (02) :353-365

[6] Even character degrees and normal Sylow 2-subgroups [J].

Pan, Hongfei ;

Nguyen Ngoc Hung ;

Dong, Shuqin .

JOURNAL OF GROUP THEORY, 2021, 24 (01) :195-205

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