Construction of the smallest Ree-Tits unital from the special linear group of degree two over the field with eight elements
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910983198343168 |
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| author | Stroppel, Markus Johannes |
| author_facet | Stroppel, Markus Johannes |
| contents | We construct the smallest Ree-Tits unital from a group of matrices that is isomorphic to the commutator group of the corresponding Ree group. The matrix description is used to determine configurations in the unital via explicit computations. Embeddings into larger Ree-Tits unitals are made explicit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02732 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Construction of the smallest Ree-Tits unital from the special linear group of degree two over the field with eight elements Stroppel, Markus Johannes Group Theory Combinatorics 51E26, 20D06 We construct the smallest Ree-Tits unital from a group of matrices that is isomorphic to the commutator group of the corresponding Ree group. The matrix description is used to determine configurations in the unital via explicit computations. Embeddings into larger Ree-Tits unitals are made explicit. |
| title | Construction of the smallest Ree-Tits unital from the special linear group of degree two over the field with eight elements |
| topic | Group Theory Combinatorics 51E26, 20D06 |
| url | https://arxiv.org/abs/2506.02732 |