Finite groups and arc-transitive maps of square-free Euler characteristic
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908704744407040 |
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| author | Hua, P. C. Li, C. H. Zhang, J. B. Zhou, H. |
| author_facet | Hua, P. C. Li, C. H. Zhang, J. B. Zhou, H. |
| contents | A characterization is completed for finite groups acting arc-transitively on maps with square-free Euler characteristic, associated with infinite families of regular maps of square-free Euler characteristic presented. This is based on a classification of finite groups of which each Sylow subgroup has a cyclic or dihedral subgroup of prime index. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14818 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite groups and arc-transitive maps of square-free Euler characteristic Hua, P. C. Li, C. H. Zhang, J. B. Zhou, H. Group Theory Combinatorics A characterization is completed for finite groups acting arc-transitively on maps with square-free Euler characteristic, associated with infinite families of regular maps of square-free Euler characteristic presented. This is based on a classification of finite groups of which each Sylow subgroup has a cyclic or dihedral subgroup of prime index. |
| title | Finite groups and arc-transitive maps of square-free Euler characteristic |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2511.14818 |