Testing chirality on hypertopes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909911205543936 |
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| author | Zhang, Wei-Juan Leemans, Dimitri |
| author_facet | Zhang, Wei-Juan Leemans, Dimitri |
| contents | In this paper we give group-theoretical conditions on the maximal parabolic subgroups of a coset geometry for it to be a chiral hypertope, bypassing the need to construct the incidence graph of the coset geometry to determine whether or not it is a chiral hypertope. This result permits to study much larger coset geometries with computers and gives hope on proving theoretical results about coset geometries that are chiral hypertopes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Testing chirality on hypertopes Zhang, Wei-Juan Leemans, Dimitri Group Theory Combinatorics 51E24, 20F05 In this paper we give group-theoretical conditions on the maximal parabolic subgroups of a coset geometry for it to be a chiral hypertope, bypassing the need to construct the incidence graph of the coset geometry to determine whether or not it is a chiral hypertope. This result permits to study much larger coset geometries with computers and gives hope on proving theoretical results about coset geometries that are chiral hypertopes. |
| title | Testing chirality on hypertopes |
| topic | Group Theory Combinatorics 51E24, 20F05 |
| url | https://arxiv.org/abs/2511.14562 |