Unitals without O'Nan configurations are classical if they admit all translations
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916433599922176 |
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| author | Stroppel, Markus Johannes |
| author_facet | Stroppel, Markus Johannes |
| contents | We prove the statement in the title: if a (finite) unital admits all translations and contains no O'Nan configurations then the unital is classical, i.e., isomorphic to the Hermitian unital of the same order. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unitals without O'Nan configurations are classical if they admit all translations Stroppel, Markus Johannes Combinatorics 51E05 (Primary), 51A45, 05B05 We prove the statement in the title: if a (finite) unital admits all translations and contains no O'Nan configurations then the unital is classical, i.e., isomorphic to the Hermitian unital of the same order. |
| title | Unitals without O'Nan configurations are classical if they admit all translations |
| topic | Combinatorics 51E05 (Primary), 51A45, 05B05 |
| url | https://arxiv.org/abs/2410.08605 |