Flag-transitive point-primitive quasi-symmetric $2$-designs and exceptional groups of Lie type
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908405619228672 |
|---|---|
| author | Lu, Jianbing |
| author_facet | Lu, Jianbing |
| contents | Let $\mathcal{D}$ be a non-trivial quasi-symmetric $2$-design with two block intersection numbers $x=0$ and $2\leq y\leq10$, and suppose that $G$ is an automorphism group of $\mathcal{D}$. If $G$ is flag-transitive and point-primitive, then it is known that $G$ is either of affine type or almost simple type. In this paper, we show that the socle of $G$ cannot be a finite simple exceptional group of Lie type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_10266 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flag-transitive point-primitive quasi-symmetric $2$-designs and exceptional groups of Lie type Lu, Jianbing Combinatorics Let $\mathcal{D}$ be a non-trivial quasi-symmetric $2$-design with two block intersection numbers $x=0$ and $2\leq y\leq10$, and suppose that $G$ is an automorphism group of $\mathcal{D}$. If $G$ is flag-transitive and point-primitive, then it is known that $G$ is either of affine type or almost simple type. In this paper, we show that the socle of $G$ cannot be a finite simple exceptional group of Lie type. |
| title | Flag-transitive point-primitive quasi-symmetric $2$-designs and exceptional groups of Lie type |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2506.10266 |