On the Morita Frobenius numbers of blocks of finite reductive groups

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Niamh Farrell
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)299-318
Seitenumfang20
FachzeitschriftJournal of algebra
Jahrgang471
PublikationsstatusVeröffentlicht - 1 Feb. 2017

Abstract

We show that the Morita Frobenius number of the blocks of the alternating groups, the finite groups of Lie type in defining characteristic, and the Ree and Suzuki groups is 1. We also show that the Morita Frobenius number of almost all of the unipotent blocks of the finite groups of Lie type in non-defining characteristic is 1, and that in the remaining cases it is at most 2.

ASJC Scopus Sachgebiete

Zitieren

On the Morita Frobenius numbers of blocks of finite reductive groups. / Farrell, Niamh.
in: Journal of algebra, Jahrgang 471, 01.02.2017, S. 299-318.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Farrell N. On the Morita Frobenius numbers of blocks of finite reductive groups. Journal of algebra. 2017 Feb 1;471:299-318. doi: 10.1016/j.jalgebra.2016.08.043
Farrell, Niamh. / On the Morita Frobenius numbers of blocks of finite reductive groups. in: Journal of algebra. 2017 ; Jahrgang 471. S. 299-318.
Download
@article{ba4cbd1ccd3640a5bc3dd7ee5b10ef52,
title = "On the Morita Frobenius numbers of blocks of finite reductive groups",
abstract = "We show that the Morita Frobenius number of the blocks of the alternating groups, the finite groups of Lie type in defining characteristic, and the Ree and Suzuki groups is 1. We also show that the Morita Frobenius number of almost all of the unipotent blocks of the finite groups of Lie type in non-defining characteristic is 1, and that in the remaining cases it is at most 2.",
keywords = "Finite reductive groups, Morita Frobenius numbers, ℓ-blocks",
author = "Niamh Farrell",
note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",
year = "2017",
month = feb,
day = "1",
doi = "10.1016/j.jalgebra.2016.08.043",
language = "English",
volume = "471",
pages = "299--318",
journal = "Journal of algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",

}

Download

TY - JOUR

T1 - On the Morita Frobenius numbers of blocks of finite reductive groups

AU - Farrell, Niamh

N1 - Publisher Copyright: © 2016 Elsevier Inc.

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We show that the Morita Frobenius number of the blocks of the alternating groups, the finite groups of Lie type in defining characteristic, and the Ree and Suzuki groups is 1. We also show that the Morita Frobenius number of almost all of the unipotent blocks of the finite groups of Lie type in non-defining characteristic is 1, and that in the remaining cases it is at most 2.

AB - We show that the Morita Frobenius number of the blocks of the alternating groups, the finite groups of Lie type in defining characteristic, and the Ree and Suzuki groups is 1. We also show that the Morita Frobenius number of almost all of the unipotent blocks of the finite groups of Lie type in non-defining characteristic is 1, and that in the remaining cases it is at most 2.

KW - Finite reductive groups

KW - Morita Frobenius numbers

KW - ℓ-blocks

UR - http://www.scopus.com/inward/record.url?scp=84991269767&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2016.08.043

DO - 10.1016/j.jalgebra.2016.08.043

M3 - Article

AN - SCOPUS:84991269767

VL - 471

SP - 299

EP - 318

JO - Journal of algebra

JF - Journal of algebra

SN - 0021-8693

ER -