Flag-transitive $2$-$(v,k,λ)$ designs with $λ\ge (r,λ)^2$
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915625499099136 |
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| author | Zhang, Junchi Lu, Jianbing Ou, Meizi |
| author_facet | Zhang, Junchi Lu, Jianbing Ou, Meizi |
| contents | This paper is devoted to the study of $2$-designs with $λ\ge (r,λ)^2$ admitting a flag-transitive automorphism group $G$. The group $G$ has been shown to be point-primitive of either almost simple or affine type. In this paper, we classify the $2$-designs with $λ\geq (r,λ)^2>1$ admitting a flag-transitive almost simple automorphism group with socle $\mathrm{PSL}_n(q)$ or $\mathrm{PSU}_n(q)$ for $n \geq 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flag-transitive $2$-$(v,k,λ)$ designs with $λ\ge (r,λ)^2$ Zhang, Junchi Lu, Jianbing Ou, Meizi Combinatorics Group Theory This paper is devoted to the study of $2$-designs with $λ\ge (r,λ)^2$ admitting a flag-transitive automorphism group $G$. The group $G$ has been shown to be point-primitive of either almost simple or affine type. In this paper, we classify the $2$-designs with $λ\geq (r,λ)^2>1$ admitting a flag-transitive almost simple automorphism group with socle $\mathrm{PSL}_n(q)$ or $\mathrm{PSU}_n(q)$ for $n \geq 3$. |
| title | Flag-transitive $2$-$(v,k,λ)$ designs with $λ\ge (r,λ)^2$ |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2511.14145 |