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arXiv · 2510.10916

Hall Skew-morphisms and Hall Cayley maps of finite groups

Wendi Di·Zheng Guo·Cai Heng Li
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Abstract

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.

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Wendi Di, Zheng Guo, Cai Heng Li. 2025-10-13. Hall Skew-morphisms and Hall Cayley maps of finite groups. https://arxiv.org/abs/2510.10916

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