On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Christine Bessenrodt
  • Heike Weber

Organisationseinheiten

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)2405-2421
Seitenumfang17
FachzeitschriftJournal of algebra
Jahrgang320
Ausgabenummer6
Frühes Online-Datum10 Juni 2008
PublikationsstatusVeröffentlicht - 15 Sept. 2008

Abstract

We classify all p-blocks of the symmetric and alternating groups where all irreducible p-Brauer characters are of prime power degree as well as the p-blocks of these groups where all p-Brauer characters are of p-power degree. This is an extension and a block refinement of an earlier result where all irreducible p-Brauer characters were assumed to be of p-power degree.

ASJC Scopus Sachgebiete

Zitieren

On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. / Bessenrodt, Christine; Weber, Heike.
in: Journal of algebra, Jahrgang 320, Nr. 6, 15.09.2008, S. 2405-2421.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Bessenrodt C, Weber H. On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. Journal of algebra. 2008 Sep 15;320(6):2405-2421. Epub 2008 Jun 10. doi: 10.1016/j.jalgebra.2008.04.029
Bessenrodt, Christine ; Weber, Heike. / On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. in: Journal of algebra. 2008 ; Jahrgang 320, Nr. 6. S. 2405-2421.
Download
@article{6ad7f935bb044ca8904a12634a562c8c,
title = "On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree",
abstract = "We classify all p-blocks of the symmetric and alternating groups where all irreducible p-Brauer characters are of prime power degree as well as the p-blocks of these groups where all p-Brauer characters are of p-power degree. This is an extension and a block refinement of an earlier result where all irreducible p-Brauer characters were assumed to be of p-power degree.",
keywords = "Alternating groups, Blocks, Irreducible Brauer characters, Prime power degrees, Symmetric groups",
author = "Christine Bessenrodt and Heike Weber",
note = "Funding Information: The first author would like to thank Prof. J. Zhang for the hospitality enjoyed during a visit at Peking University when the final work on this article was done; the support of this stay by the Sino-German Center for Research Promotion in Beijing is also gratefully acknowledged.",
year = "2008",
month = sep,
day = "15",
doi = "10.1016/j.jalgebra.2008.04.029",
language = "English",
volume = "320",
pages = "2405--2421",
journal = "Journal of algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "6",

}

Download

TY - JOUR

T1 - On p-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree

AU - Bessenrodt, Christine

AU - Weber, Heike

N1 - Funding Information: The first author would like to thank Prof. J. Zhang for the hospitality enjoyed during a visit at Peking University when the final work on this article was done; the support of this stay by the Sino-German Center for Research Promotion in Beijing is also gratefully acknowledged.

PY - 2008/9/15

Y1 - 2008/9/15

N2 - We classify all p-blocks of the symmetric and alternating groups where all irreducible p-Brauer characters are of prime power degree as well as the p-blocks of these groups where all p-Brauer characters are of p-power degree. This is an extension and a block refinement of an earlier result where all irreducible p-Brauer characters were assumed to be of p-power degree.

AB - We classify all p-blocks of the symmetric and alternating groups where all irreducible p-Brauer characters are of prime power degree as well as the p-blocks of these groups where all p-Brauer characters are of p-power degree. This is an extension and a block refinement of an earlier result where all irreducible p-Brauer characters were assumed to be of p-power degree.

KW - Alternating groups

KW - Blocks

KW - Irreducible Brauer characters

KW - Prime power degrees

KW - Symmetric groups

UR - http://www.scopus.com/inward/record.url?scp=48649095531&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2008.04.029

DO - 10.1016/j.jalgebra.2008.04.029

M3 - Article

AN - SCOPUS:48649095531

VL - 320

SP - 2405

EP - 2421

JO - Journal of algebra

JF - Journal of algebra

SN - 0021-8693

IS - 6

ER -