Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 190-207 |
Seitenumfang | 18 |
Fachzeitschrift | Journal of algebra |
Jahrgang | 424 |
Publikationsstatus | Veröffentlicht - 5 Feb. 2015 |
Abstract
Suppose that all nontrivial subsections of a p-block B are conjugate (where p is a prime). By using the classification of the finite simple groups, we prove that the defect groups of B are either extraspecial of order p3 with p∈{3, 5} or elementary abelian.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Algebra und Zahlentheorie
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in: Journal of algebra, Jahrgang 424, 05.02.2015, S. 190-207.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Blocks with transitive fusion systems
AU - Héthelyi, László
AU - Kessar, Radha
AU - Külshammer, Burkhard
AU - Sambale, Benjamin
N1 - Funding information: The first author gratefully acknowledges support by the Hungarian National Science Foundation Research No. 77476 . The third author gratefully acknowledges support by the DFG ( SPP 1388 ). The fourth author gratefully acknowledges support by the Carl Zeiss Foundation and the Daimler and Benz Foundation . All authors thank the anonymous referee for many valuable corrections and suggestions.
PY - 2015/2/5
Y1 - 2015/2/5
N2 - Suppose that all nontrivial subsections of a p-block B are conjugate (where p is a prime). By using the classification of the finite simple groups, we prove that the defect groups of B are either extraspecial of order p3 with p∈{3, 5} or elementary abelian.
AB - Suppose that all nontrivial subsections of a p-block B are conjugate (where p is a prime). By using the classification of the finite simple groups, we prove that the defect groups of B are either extraspecial of order p3 with p∈{3, 5} or elementary abelian.
KW - Block
KW - Defect group
KW - Fusion system
KW - Primary
KW - Secondary
UR - http://www.scopus.com/inward/record.url?scp=84916898420&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2014.10.042
DO - 10.1016/j.jalgebra.2014.10.042
M3 - Article
AN - SCOPUS:84916898420
VL - 424
SP - 190
EP - 207
JO - Journal of algebra
JF - Journal of algebra
SN - 0021-8693
ER -