7 papers
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…
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…
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…
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…
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…