Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 475-487 |
Seitenumfang | 13 |
Fachzeitschrift | Pacific journal of mathematics |
Jahrgang | 280 |
Ausgabenummer | 2 |
Publikationsstatus | Veröffentlicht - 2016 |
Extern publiziert | Ja |
Abstract
We prove that two 2-blocks of (possibly different) finite groups with a common minimal nonabelian defect group and the same fusion system are isotypic (and therefore perfectly isometric) in the sense of Broué. This continues former work by Cabanes and Picaronny (J. Fac. Sci. Univ. Tokyo Sect. IA Math. 39:1 (1992), 141-161), Sambale (J. Algebra 337 (2011), 261-284) and Eaton et al. (J. Group Theory 15:3 (2012), 311-321).
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Pacific journal of mathematics, Jahrgang 280, Nr. 2, 2016, S. 475-487.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - 2-Blocks with minimal nonabelian defect groups III
AU - Sambale, Benjamin
PY - 2016
Y1 - 2016
N2 - We prove that two 2-blocks of (possibly different) finite groups with a common minimal nonabelian defect group and the same fusion system are isotypic (and therefore perfectly isometric) in the sense of Broué. This continues former work by Cabanes and Picaronny (J. Fac. Sci. Univ. Tokyo Sect. IA Math. 39:1 (1992), 141-161), Sambale (J. Algebra 337 (2011), 261-284) and Eaton et al. (J. Group Theory 15:3 (2012), 311-321).
AB - We prove that two 2-blocks of (possibly different) finite groups with a common minimal nonabelian defect group and the same fusion system are isotypic (and therefore perfectly isometric) in the sense of Broué. This continues former work by Cabanes and Picaronny (J. Fac. Sci. Univ. Tokyo Sect. IA Math. 39:1 (1992), 141-161), Sambale (J. Algebra 337 (2011), 261-284) and Eaton et al. (J. Group Theory 15:3 (2012), 311-321).
KW - Isotypies
KW - Minimal nonabelian defect groups
KW - Perfect isometries
UR - http://www.scopus.com/inward/record.url?scp=84957812801&partnerID=8YFLogxK
U2 - 10.2140/pjm.2016.280.475
DO - 10.2140/pjm.2016.280.475
M3 - Article
AN - SCOPUS:84957812801
VL - 280
SP - 475
EP - 487
JO - Pacific journal of mathematics
JF - Pacific journal of mathematics
SN - 0030-8730
IS - 2
ER -