Extensions of Steiner Triple Systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912179505070080 |
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| author | Falcone, Giovanni Figula, Agota Galici, Mario |
| author_facet | Falcone, Giovanni Figula, Agota Galici, Mario |
| contents | In this article we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a powerful method for constructing Steiner triple systems containing Veblen points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12796 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extensions of Steiner Triple Systems Falcone, Giovanni Figula, Agota Galici, Mario Combinatorics 05B07, 20N05, 51E10 In this article we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a powerful method for constructing Steiner triple systems containing Veblen points. |
| title | Extensions of Steiner Triple Systems |
| topic | Combinatorics 05B07, 20N05, 51E10 |
| url | https://arxiv.org/abs/2406.12796 |