On p-parts of Brauer character degrees and p-regular conjugacy class sizes of finite groups

被引：1

作者：

Bessenrodt, Christine ^{[1
]}

Yang, Yong ^{[2
,3
]}

机构：

[1] Leibniz Univ Hannover, Inst Algebra Zahlentheorie & Diskrete Math, Welfengarten 1, D-30167 Hannover, Germany

[2] Texas State Univ, Dept Math, 601 Univ Dr, San Marcos, TX 78666 USA

[3] Chongqing Univ Arts & Sci, Key Lab Grp & Graph Theories & Applicat, Chongqing 402160, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2020年 / 560卷

关键词：

Brauer characters; p-regular classes; p-parts; LARGE ORBITS; BLOCKS; SET;

D O I：

10.1016/j.jalgebra.2020.05.018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group, p a prime, and IBrp(G) the set of irreducible p-Brauer characters of G. Let (e) over bar (p)(G) be the largest integer such that p((e) over barp)(G) divides chi(1) for some chi is an element of IBrp (G). We show that vertical bar G : O-p(G)vertical bar(p) <= p(k (e) over barp)(G) for an explicitly given constant k. We also study the analogous problem for the p-parts of the conjugacy class sizes of p-regular elements of finite groups. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：296 / 311

页数：16

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