Block-transitive t-(k^2,k,λ) designs associated to two dimensional projective special linear groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912556135743488 |
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| author | Xiong, Guoqiang Guan, Haiyan |
| author_facet | Xiong, Guoqiang Guan, Haiyan |
| contents | This paper investigates block-transitive automorphism groups of t-(k^2,k,λ) designs. Let D be a non-trivial t-(k^2,k,λ) design, G \leq \Aut(D) be block-transitive with X\unlhd G\leq \Aut(X), where X = PSL(2,q)(q\geq4). Then q = 8 and D is a 2-(36,6,λ) design with λ\in \{2,6,9,12,18,36\}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19515 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Block-transitive t-(k^2,k,λ) designs associated to two dimensional projective special linear groups Xiong, Guoqiang Guan, Haiyan Group Theory This paper investigates block-transitive automorphism groups of t-(k^2,k,λ) designs. Let D be a non-trivial t-(k^2,k,λ) design, G \leq \Aut(D) be block-transitive with X\unlhd G\leq \Aut(X), where X = PSL(2,q)(q\geq4). Then q = 8 and D is a 2-(36,6,λ) design with λ\in \{2,6,9,12,18,36\}. |
| title | Block-transitive t-(k^2,k,λ) designs associated to two dimensional projective special linear groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2508.19515 |