activity
20072026
most citedOn imprimitive rank 3 permutation groups

30 citations · 74 across the 28 of their papers we have counts for

collaborators

34 papers

math.CO2026

A construction of 2-arc-transitive non-solvable covers of complete graphs

Jiyong Chen, Cai Heng Li, Ci Xuan Wu +1

We construct connected -arc-transitive covers of complete graphs with non-abelian characteristically simple transformation groups. This solves the existence problem for non-solv…

math.GR2026

The finite -set homogeneous graphs

Cai Heng Li, Fu-Gang Yin, Jin-Xin Zhou

A classification is given of finite -set-homogeneous graphs for , leading to a striking result that each finite -set-homogeneous graph is -homogeneous. It sh…

math.GR2024

A complete classification of solvable factors of almost simple groups

Tao Feng, Cai Heng Li, Conghui Li +3

We give an explicit characterization of solvable factors in factorizations of finite classical groups of Lie type. This completes the classification of solvable factors in factoriz…

math.GR2022

Factorizations of almost simple orthogonal groups of plus type

Cai Heng Li, Lei Wang, Binzhou Xia

This is the fifth one in a series of papers classifying the factorizations of almost simple groups with nonsolvable factors. In this paper we deal with orthogonal groups of plus ty…

math.CO2022★ 2 cited

Locally Finite Vertex-Rotary Maps and Coset Graphs with Finite Valency and Finite Edge Multiplicity

Cai Heng Li, Cheryl E. Praeger, Shu Jiao Song

It is well-known that a simple -arc-transitive graph can be represented as a coset graph for the group . This representation is extended to a construction of -arc-transiti…

math.CO2021

The graphs with a symmetrical Euler cycle

Jiyong Chen, Cai Heng Li, Cheryl E. Praeger +1

The edges surrounding a face of a map form a cycle , called the boundary cycle of the face, and is often not a simple cycle. If the map is arc-transitive, then there…