Chiral maps of given hyperbolic type on $A_k$
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917598943248384 |
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| author | Reade, Olivia |
| author_facet | Reade, Olivia |
| contents | This paper proves the existence of a chiral map with alternating automorphism group for every hyperbolic type. We present a set of constructions using permutations for when at least one parameter is even, and call on previously known results for when both the valency and the face-length are odd. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17055 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chiral maps of given hyperbolic type on $A_k$ Reade, Olivia Combinatorics 20B25, 20D06, 05C10 (Primary), 20B15, 05E18, 20B05 (Secondary) This paper proves the existence of a chiral map with alternating automorphism group for every hyperbolic type. We present a set of constructions using permutations for when at least one parameter is even, and call on previously known results for when both the valency and the face-length are odd. |
| title | Chiral maps of given hyperbolic type on $A_k$ |
| topic | Combinatorics 20B25, 20D06, 05C10 (Primary), 20B15, 05E18, 20B05 (Secondary) |
| url | https://arxiv.org/abs/2402.17055 |