English

Hall Skew-morphisms and Hall Cayley maps of finite groups

Group Theory 2025-10-14 v1 Combinatorics

Abstract

A characterization is given of finite groups HH that have skew-morphisms of order coprime to the order H|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.

Keywords

Cite

@article{arxiv.2510.10916,
  title  = {Hall Skew-morphisms and Hall Cayley maps of finite groups},
  author = {Wendi Di and Zheng Guo and Cai Heng Li},
  journal= {arXiv preprint arXiv:2510.10916},
  year   = {2025}
}