p-Regular conjugacy classes and p-rational irreducible characters

JOURNAL OF ALGEBRA

卷:607

Article

Nguyen Ngoc Hung¹  Maroti, Attila² 

[1] Univ Akron, Dept Math, Akron, OH 44325 USA

[2] Alfred Renyi Inst Math, Realtanoda Utca 13-15, H-1053 Budapest, Hungary

关键词: Finite groups;    Conjugacy classes;    p-Regular classes;    Brauer characters;    p-Rational characters;   

DOI  :  10.1016/j.jalgebra.2021.02.007

来源: Elsevier

【 摘 要 】

Let G be a finite group of order divisible by a prime p. The number of conjugacy classes of p-elements and p-regular elements of G is at least 2 root p-1. Also, the number of p-rational and p '-rational irreducible characters of G is at least 2 root p-1. Along the way we prove a uniform lower bound for the number of p-regular classes in a finite simple group of Lie type in terms of its rank and size of the underlying field. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

【 授权许可】

Free