Showing math.COShow all
3 papers · 1 filter
math.CO2025
Non-solvable -arc-transitive covers of Petersen graphs
Jiyong Chen, Cai Heng Li, Ci Xuan Wu +1
We construct connected -arc-transitive covers of the Petersen graph with non-solvable transformation groups, solving the long-standing problem for the existence of such covers.
math.CO2024
Coverings of Groups, Regular Dessins, and Surfaces
Jiyong Chen, Wenwen Fan, Cai Heng Li +1
A coset geometry representation of regular dessins is established, and employed to describe quotients and coverings of regular dessins and surfaces. A characterization is then give…
math.CO2024
Locally primitive block designs
Jianfu Chen, Peice Hua, Cai Heng Li +1
A locally primitive 2-design is a 2-design admitting an automorphism group with primitive local actions. It is proved that is point-primitive, and either is an almost s…