Hall Skew-morphisms and Hall Cayley maps of finite groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915549027500032 |
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| author | Di, Wendi Guo, Zheng Li, Cai Heng |
| author_facet | Di, Wendi Guo, Zheng Li, Cai Heng |
| contents | A characterization is given of finite groups $H$ that have skew-morphisms of order coprime to the order $|H|$, and their skew-morphisms. A complete classification is then given of the automorphism groups and the underlying graphs of vertex-rotary core-free Hall Cayley maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_10916 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hall Skew-morphisms and Hall Cayley maps of finite groups Di, Wendi Guo, Zheng Li, Cai Heng Group Theory Combinatorics 05C25, 20B05, 20C15 A characterization is given of finite groups $H$ that have skew-morphisms of order coprime to the order $|H|$, and their skew-morphisms. A complete classification is then given of the automorphism groups and the underlying graphs of vertex-rotary core-free Hall Cayley maps. |
| title | Hall Skew-morphisms and Hall Cayley maps of finite groups |
| topic | Group Theory Combinatorics 05C25, 20B05, 20C15 |
| url | https://arxiv.org/abs/2510.10916 |