Soft planes and groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910705041539072 |
|---|---|
| author | Kantor, William M. |
| author_facet | Kantor, William M. |
| contents | Finite projective planes are constructed using groups that satisfy simple-looking conditions.
The resulting projective planes include many known planes and possibly new ones, and are precisely those having a collineation group fixing a flag $(\infty,L_ \infty )$ and transitive on the flags $ (w,W )$ with $w\notin L_ \infty $ and $\infty\notin W$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11923 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Soft planes and groups Kantor, William M. Combinatorics Group Theory 05E18 (Primary) 20B25, 51E15 (Secondary) Finite projective planes are constructed using groups that satisfy simple-looking conditions. The resulting projective planes include many known planes and possibly new ones, and are precisely those having a collineation group fixing a flag $(\infty,L_ \infty )$ and transitive on the flags $ (w,W )$ with $w\notin L_ \infty $ and $\infty\notin W$. |
| title | Soft planes and groups |
| topic | Combinatorics Group Theory 05E18 (Primary) 20B25, 51E15 (Secondary) |
| url | https://arxiv.org/abs/2408.11923 |