5 papers
A classification of rotary embeddings of multicycles
Zhaochen Ding, Zheng Guo, Luyi Liu
We classify rotary (orientably-regular) maps whose underlying graphs are multicycles. For the multicycle of length and edge-multiplicity , we determin…
A classification of vertex-reversing maps with Euler characteristic coprime to the edge number
Cai Heng Li, Luyi Liu, Yan Zhou Zhu +1
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…
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…
Arc-transitive maps with edge number coprime to the Euler characteristic -- I
Cai Heng Li, Luyi Liu
This is one of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one establishes…
Arc-transitive maps with coprime Euler characteristic and edge number -- II
Cai Heng Li, Luyi Liu
This is the second of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one carr…