Arc-transitive maps with edge number coprime to the Euler characteristic -- I
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910842014924800 |
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| author | Li, Cai Heng Liu, Luyi |
| author_facet | Li, Cai Heng Liu, Luyi |
| contents | This is one of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one establishes a framework and carries out the classification work for arc-transitive maps with solvable automorphism groups, which illustrates how the edge number impacts on the Euler characteristic for maps. The classification is involved with the constructions of various new and interesting arc-regular maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arc-transitive maps with edge number coprime to the Euler characteristic -- I Li, Cai Heng Liu, Luyi Combinatorics Group Theory 05C10, 20B25 This is one of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one establishes a framework and carries out the classification work for arc-transitive maps with solvable automorphism groups, which illustrates how the edge number impacts on the Euler characteristic for maps. The classification is involved with the constructions of various new and interesting arc-regular maps. |
| title | Arc-transitive maps with edge number coprime to the Euler characteristic -- I |
| topic | Combinatorics Group Theory 05C10, 20B25 |
| url | https://arxiv.org/abs/2412.18758 |