Classifying pseudo-ovals, translation generalized quadrangles, and elation Laguerre planes of small order
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913248374161408 |
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| author | Monzillo, Giusy Penttila, Tim Siciliano, Alessandro |
| author_facet | Monzillo, Giusy Penttila, Tim Siciliano, Alessandro |
| contents | We provide classification results for translation generalized quadrangles of order less or equal to $64$, and hence, for all incidence geometries related to them. The results consist of the classification of all pseudo-ovals in $PG(3n-1,2)$, for $n=3,4$, and that of the pseudo-ovals in $PG(3n-1,q)$, for $n=5,6$, such that one of the associated projective planes is Desarguesian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19211 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classifying pseudo-ovals, translation generalized quadrangles, and elation Laguerre planes of small order Monzillo, Giusy Penttila, Tim Siciliano, Alessandro Combinatorics We provide classification results for translation generalized quadrangles of order less or equal to $64$, and hence, for all incidence geometries related to them. The results consist of the classification of all pseudo-ovals in $PG(3n-1,2)$, for $n=3,4$, and that of the pseudo-ovals in $PG(3n-1,q)$, for $n=5,6$, such that one of the associated projective planes is Desarguesian. |
| title | Classifying pseudo-ovals, translation generalized quadrangles, and elation Laguerre planes of small order |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2402.19211 |