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math.GR2025
Hall Skew-morphisms and Hall Cayley maps of finite groups
Wendi Di, Zheng Guo, Cai Heng Li
A characterization is given of finite groups that have skew-morphisms of order coprime to the order , and their skew-morphisms. A complete classification is then given of…
math.GR2024
The exceptional Hall numbers
Zheng Guo, Yong Hu, Cai Heng Li
A positive integer is called a Hall number if any finite group of order precisely divisible by has a Hall subgroup of order . We prove that, except for the obvious examp…