4 citations · 9 across the 12 of their papers we have counts for
7 papers · 1 filter
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 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…
Fixers and derangements of finite permutation groups
Hong Yi Huang, Cai Heng Li, Yi Lin Xie
Let be a finite transitive permutation group with point stabiliser . We say that a subgroup of is a fixer if every element of has fixed p…
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…
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…