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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2112.00466 |
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| _version_ | 1866913481215705088 |
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| author | Gan, Yunsong Liu, Weijun |
| author_facet | Gan, Yunsong Liu, Weijun |
| contents | This paper studies the long-standing open problem of the reduction of Steiner 3-designs admitting a block-transitive automorphism group. We prove that if G acts as a point-primitive, block-transitive automorphism group of a nontrivial Steiner 3-design, then G is of affine or almost simple type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_00466 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Block-transitive, point-primitive Steiner 3-designs Gan, Yunsong Liu, Weijun Combinatorics Group Theory This paper studies the long-standing open problem of the reduction of Steiner 3-designs admitting a block-transitive automorphism group. We prove that if G acts as a point-primitive, block-transitive automorphism group of a nontrivial Steiner 3-design, then G is of affine or almost simple type. |
| title | Block-transitive, point-primitive Steiner 3-designs |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/2112.00466 |