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

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10.1142/S1005386710000519

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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",

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language = "English (US)",

volume = "17",

pages = "541--548",

journal = "Algebra Colloquium",

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

AU - Tiep, Pham Huu

AU - Willems, Wolfgang

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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

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DO - 10.1142/S1005386710000519

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JO - Algebra Colloquium

JF - Algebra Colloquium

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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