Brauer characters of prime power degrees and conjugacy classes of prime power lengths

Pham Huu Tiep; Wolfgang Willems

doi:10.1142/S1005386710000519

Brauer characters of prime power degrees and conjugacy classes of prime power lengths

Pham Huu Tiep, Wolfgang Willems

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We study the structure of any finite group in which the degree of every irreducible p-Brauer character, respectively the length of every p-regular conjugacy class, is a power of a fixed prime.

Original language	English (US)
Pages (from-to)	541-548
Number of pages	8
Journal	Algebra Colloquium
Volume	17
Issue number	4
DOIs	https://doi.org/10.1142/S1005386710000519
State	Published - Dec 2010

Keywords

Brauer character degrees
conjugacy class lengths

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

Access to Document

10.1142/S1005386710000519

Cite this

@article{b244b16885974048a595b561a29c0721,

title = "Brauer characters of prime power degrees and conjugacy classes of prime power lengths",

abstract = "We study the structure of any finite group in which the degree of every irreducible p-Brauer character, respectively the length of every p-regular conjugacy class, is a power of a fixed prime.",

keywords = "Brauer character degrees, conjugacy class lengths",

author = "Tiep, {Pham Huu} and Wolfgang Willems",

year = "2010",

month = dec,

doi = "10.1142/S1005386710000519",

language = "English (US)",

volume = "17",

pages = "541--548",

journal = "Algebra Colloquium",

issn = "1005-3867",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - Brauer characters of prime power degrees and conjugacy classes of prime power lengths

AU - Tiep, Pham Huu

AU - Willems, Wolfgang

PY - 2010/12

Y1 - 2010/12

N2 - We study the structure of any finite group in which the degree of every irreducible p-Brauer character, respectively the length of every p-regular conjugacy class, is a power of a fixed prime.

AB - We study the structure of any finite group in which the degree of every irreducible p-Brauer character, respectively the length of every p-regular conjugacy class, is a power of a fixed prime.

KW - Brauer character degrees

KW - conjugacy class lengths

UR - http://www.scopus.com/inward/record.url?scp=77957334871&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77957334871&partnerID=8YFLogxK

U2 - 10.1142/S1005386710000519

DO - 10.1142/S1005386710000519

M3 - Article

AN - SCOPUS:77957334871

SN - 1005-3867

VL - 17

SP - 541

EP - 548

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 4

ER -

Brauer characters of prime power degrees and conjugacy classes of prime power lengths

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this