4 citations · 9 across the 12 of their papers we have counts for
5 papers · 2 filters
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…
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…
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…