The largest character degree and the Sylow subgroups of finite groups-Reference-Cited by-同舟云学术

The largest character degree and the Sylow subgroups of finite groups

Published:2016-03-30 Issue:06 Volume:15 Page:1650066
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Qian Guohua¹,Yang Yong²³

Affiliation:

1. Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, P. R. China

2. Key Laboratory of Group & Graph Theories and Applications, Chongqing University of Arts and Sciences, Chongqing, China

3. Department of Mathematics, Texas State University, 601 University Drive, San Marcos, TX 78666, USA

Abstract

Let [Formula: see text] be a Sylow [Formula: see text]-subgroup and [Formula: see text] be the largest irreducible character degree of a finite nonabelian group [Formula: see text]. Then [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498816500663

Reference7 articles.

1. Permutation Groups

2. Large orbits in actions of nilpotent groups

3. Bounding an Index by the Largest Character Degree of ap-Solvable Group

4. A character theoretic criterion for a p-closed group

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Abelian subgroups, nilpotent subgroups, and the largest character degree of a finite group;Journal of Algebra;2020-06

2. The largest conjugacy class size and the nilpotent subgroups of finite groups;Journal of Group Theory;2018-12-06

3. The size of the largest conjugacy classes and the Sylow p-subgroups of finite groups;Archiv der Mathematik;2016-11-10