Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 299-318 |
Seitenumfang | 20 |
Fachzeitschrift | Journal of algebra |
Jahrgang | 471 |
Publikationsstatus | Veröffentlicht - 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
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of algebra, Jahrgang 471, 01.02.2017, S. 299-318.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
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 -