A Classification of the flag-transitive $2$-$(v,3,λ)$ designs with with $v\equiv 1,3\pmod{6}$ and $v \equiv 6 \pmodλ$
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| Format: | Preprint |
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2024
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| _version_ | 1866916191095750656 |
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| author | Francot, Eliana Montinaro, Alessandro |
| author_facet | Francot, Eliana Montinaro, Alessandro |
| contents | In this paper, we provide a complete classification of the $2$-$(v,3,λ)$ designs with $v\equiv 1,3\pmod{6}$ and $% v \equiv 6 \pmodλ$ admitting a flag-transitive automorphism group non-isomorphic to a subgroup of $AΓL_{1}(v)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02488 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Classification of the flag-transitive $2$-$(v,3,λ)$ designs with with $v\equiv 1,3\pmod{6}$ and $v \equiv 6 \pmodλ$ Francot, Eliana Montinaro, Alessandro Combinatorics 05B05, 05B25, 20B25 In this paper, we provide a complete classification of the $2$-$(v,3,λ)$ designs with $v\equiv 1,3\pmod{6}$ and $% v \equiv 6 \pmodλ$ admitting a flag-transitive automorphism group non-isomorphic to a subgroup of $AΓL_{1}(v)$. |
| title | A Classification of the flag-transitive $2$-$(v,3,λ)$ designs with with $v\equiv 1,3\pmod{6}$ and $v \equiv 6 \pmodλ$ |
| topic | Combinatorics 05B05, 05B25, 20B25 |
| url | https://arxiv.org/abs/2404.02488 |