4 citations · 5 across the 10 of their papers we have counts for
11 papers
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…
A classification of vertex-reversing maps with Euler characteristic coprime to the edge number
Luyi Liu, Hanyue Yi, Yan Zhou Zhu
An arc-regular map is \emph{vertex-reversing} if the automorphism group has dihedral vertex stabilizers. This paper classifies solvable vertex-reversing maps whose Euler characteri…
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.
Finite semiprimitive permutation groups of rank
Cai Heng Li, Hanyue Yi, Yan Zhou Zhu
A transitive permutation group is said to be semiprimitive if each of its normal subgroups is either semiregular or transitive.The class of semiprimitive groups properly contains p…
Finite imprimitive rank affine groups -- I
Cai Heng Li, Luyi Liu, Hanyue Yi +1
This is one of a series of papers which aims towards a classification of imprimitive affine groups of rank . In this paper, a complete classification is given of such groups of…
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…
The finite groups with three automorphism orbits
Cai Heng Li, Yan Zhou Zhu
A complete classification is given of finite groups whose elements are partitioned into three orbits by the automorphism groups, solving the long-standing classification problem in…
A proof of {Gross}' conjecture on -automorphic -groups
Cai Heng Li, Yan Zhou Zhu
Building upon previous results, a classification is given of finite -groups of which subgroups of order are all fused. This completes the classification problem dated back t…
On finite permutation groups of rank three
Hong Yi Huang, Cai Heng Li, Yan Zhou Zhu
The classification of the finite primitive permutation groups of rank was completed in the 1980s and this landmark achievement has found a wide range of applications. In the ge…
Symmetric Covers and Pseudocovers of Complete Graphs
Yan Zhou Zhu
We first characterize all faithful arc-transitive covers of complete graphs and we give a general construction of such covers. For a counterpart of cover, we say a graph is a p…
Covers and pseudocovers of symmetric graphs
Cai Heng Li, Yan Zhou Zhu
We introduce the concept of pseudocover, which is a counterpart of cover, for symmetric graphs. The only known example of pseudocovers of symmetric graphs so far was given by Praeg…