activity
20222026
most citedA proof of {Gross}' conjecture on -automorphic -groups

4 citations · 5 across the 10 of their papers we have counts for

collaborators
Showing math.GRShow all

6 papers · 1 filter

math.GR2025

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…

math.GR2024

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…

math.GR2024

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…

math.GR2024

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…

math.GR2023★ 4 cited

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…

math.GR2023

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…