Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 670-699 |
| Seitenumfang | 30 |
| Fachzeitschrift | Journal of Algebra |
| Jahrgang | 606 |
| Frühes Online-Datum | 25 Mai 2022 |
| Publikationsstatus | Veröffentlicht - 15 Sept. 2022 |
Abstract
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of Algebra, Jahrgang 606, 15.09.2022, S. 670-699.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Cartan matrices and Brauer's k(B)-Conjecture V
AU - Ardito, Cesare G.
AU - Sambale, Benjamin
N1 - © 2022 Elsevier Inc.
PY - 2022/9/15
Y1 - 2022/9/15
N2 - We prove Brauer's -Conjecture for the 3-blocks with abelian defect groups of rank at most 5 and for all 3-blocks of defect at most 4. For this purpose we develop a computer algorithm to construct isotypies based on a method of Usami and Puig. This leads further to some previously unknown perfect isometries for the 5-blocks of defect 2. We also investigate basic sets which are compatible under the action of the inertial group.
AB - We prove Brauer's -Conjecture for the 3-blocks with abelian defect groups of rank at most 5 and for all 3-blocks of defect at most 4. For this purpose we develop a computer algorithm to construct isotypies based on a method of Usami and Puig. This leads further to some previously unknown perfect isometries for the 5-blocks of defect 2. We also investigate basic sets which are compatible under the action of the inertial group.
KW - math.RT
KW - Usami–Puig method
KW - Brauer's conjecture
KW - Perfect isometries
KW - Number of characters
UR - http://www.scopus.com/inward/record.url?scp=85131563265&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1911.10710
DO - 10.48550/arXiv.1911.10710
M3 - Article
VL - 606
SP - 670
EP - 699
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
ER -