Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 296-311 |
| Seitenumfang | 16 |
| Fachzeitschrift | Journal of algebra |
| Jahrgang | 560 |
| Frühes Online-Datum | 26 Mai 2020 |
| Publikationsstatus | Veröffentlicht - 15 Okt. 2020 |
Abstract
Let G be a finite group, p a prime, and IBrp(G) the set of irreducible p-Brauer characters of G. Let e¯p(G) be the largest integer such that pe¯p(G) divides χ(1) for some χ∈IBrp(G). We show that |G:Op(G)|p≤pke¯p(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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of algebra, Jahrgang 560, 15.10.2020, S. 296-311.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On p-parts of Brauer character degrees and p-regular conjugacy class sizes of finite groups
AU - Bessenrodt, Christine
AU - Yang, Yong
N1 - Funding Information: This work was partially supported by the NSFC (No. 11671063 ), and a grant from the Simons Foundation (No. 499532, YY ). We would also like to thank the referee for the valuable suggestions.
PY - 2020/10/15
Y1 - 2020/10/15
N2 - Let G be a finite group, p a prime, and IBrp(G) the set of irreducible p-Brauer characters of G. Let e¯p(G) be the largest integer such that pe¯p(G) divides χ(1) for some χ∈IBrp(G). We show that |G:Op(G)|p≤pke¯p(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.
AB - Let G be a finite group, p a prime, and IBrp(G) the set of irreducible p-Brauer characters of G. Let e¯p(G) be the largest integer such that pe¯p(G) divides χ(1) for some χ∈IBrp(G). We show that |G:Op(G)|p≤pke¯p(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.
KW - Brauer characters
KW - p-parts
KW - p-regular classes
UR - http://www.scopus.com/inward/record.url?scp=85085645311&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2020.05.018
DO - 10.1016/j.jalgebra.2020.05.018
M3 - Article
AN - SCOPUS:85085645311
VL - 560
SP - 296
EP - 311
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -