Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 325-329 |
| Seitenumfang | 5 |
| Fachzeitschrift | Osaka journal of mathematics |
| Jahrgang | 49 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - Juni 2012 |
| Extern publiziert | Ja |
Abstract
Let P be a finite meta cyclic 2-group and F a fusion system on P. We prove that F is nilpotent unless P has maximal class or P is homo cyclic, i.e. P is a direct product of two isomorphic cyclic groups. As a consequence we obtain the numerical invariants for 2-blocks with meta cyclic defect groups. This paper is a part of the author's PhD thesis.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Osaka journal of mathematics, Jahrgang 49, Nr. 2, 06.2012, S. 325-329.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Fusion systems on metacyclic 2-groups
AU - Sambale, Benjamin
PY - 2012/6
Y1 - 2012/6
N2 - Let P be a finite meta cyclic 2-group and F a fusion system on P. We prove that F is nilpotent unless P has maximal class or P is homo cyclic, i.e. P is a direct product of two isomorphic cyclic groups. As a consequence we obtain the numerical invariants for 2-blocks with meta cyclic defect groups. This paper is a part of the author's PhD thesis.
AB - Let P be a finite meta cyclic 2-group and F a fusion system on P. We prove that F is nilpotent unless P has maximal class or P is homo cyclic, i.e. P is a direct product of two isomorphic cyclic groups. As a consequence we obtain the numerical invariants for 2-blocks with meta cyclic defect groups. This paper is a part of the author's PhD thesis.
UR - http://www.scopus.com/inward/record.url?scp=84863494806&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84863494806
VL - 49
SP - 325
EP - 329
JO - Osaka journal of mathematics
JF - Osaka journal of mathematics
SN - 0030-6126
IS - 2
ER -