Cameron-Liebler sets of generators in the Klein quadric $Q^+(5,q)$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912269883932672 |
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| author | D'haeseleer, Jozefien Mannaert, Jonathan Storme, Leo |
| author_facet | D'haeseleer, Jozefien Mannaert, Jonathan Storme, Leo |
| contents | We investigate Cameron-Liebler sets of planes in the Klein quadric $Q^+(5,q)$ in PG$(5,q)$. We prove that there are many examples of such Cameron-Liebler sets of planes in the Klein quadric. More specifically, we provide an incomplete list of examples of such Cameron-Liebler sets of planes. By doing so, we also provide some characteristic results regarding these sets in connection with the Klein quadric. These results contribute to an open conjecture posed in [21]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cameron-Liebler sets of generators in the Klein quadric $Q^+(5,q)$ D'haeseleer, Jozefien Mannaert, Jonathan Storme, Leo Combinatorics 05B25, 51A50, 51E20 We investigate Cameron-Liebler sets of planes in the Klein quadric $Q^+(5,q)$ in PG$(5,q)$. We prove that there are many examples of such Cameron-Liebler sets of planes in the Klein quadric. More specifically, we provide an incomplete list of examples of such Cameron-Liebler sets of planes. By doing so, we also provide some characteristic results regarding these sets in connection with the Klein quadric. These results contribute to an open conjecture posed in [21]. |
| title | Cameron-Liebler sets of generators in the Klein quadric $Q^+(5,q)$ |
| topic | Combinatorics 05B25, 51A50, 51E20 |
| url | https://arxiv.org/abs/2503.08260 |