Details
| Original language | English |
|---|---|
| Pages (from-to) | 190-207 |
| Number of pages | 18 |
| Journal | Journal of algebra |
| Volume | 424 |
| Publication status | Published - 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.
Keywords
- Block, Defect group, Fusion system, Primary, Secondary
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Journal of algebra, Vol. 424, 05.02.2015, p. 190-207.
Research output: Contribution to journal › Article › Research › 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 -