2 citations · 6 across the 14 of their papers we have counts for
15 papers
Bounded-orbit lattice representations of finite groups
JiaLi Du, Andrea Lucchini, Joy Morris +1
For a finite group , let denote the minimum number of orbits on the elements of a finite lattice with . Babai and Goodman conjectured th…
On symplectic automorphisms of a surface with genus two fibration and their action on
Jiabin Du, Wenfei Liu
Let be a complex smooth projective surface with a genus two fibration, and the group of symplectic automorphisms, fixing every holomorphic 2-forms (if any)…
The existence of -Haar graphical representations
Jia-Li Du, Yan-Quan Feng, Binzhou Xia +1
Extending the well-studied concept of graphical regular representations to bipartite graphs, a Haar graphical representation (HGR) of a group is a bipartite graph whose automor…
Cohomological rank functions and surfaces of general type with
Jiabin Du, Zhi Jiang, Guoyun Zhang
We classify minimal surfaces with and or .
On oriented -semiregular representations of finite groups about valency two
Jia-Li Du, Young Soo Kwon, Da-Wei Yang
Given a group , an {\em -Cayley digraph $\G$ over } is a digraph that has a group of automorphisms isomorphic to acting semiregularly on the vertex set with orbits…
On oriented -semiregular representations of finite groups
Jia-Li Du, Yan-Quan Feng, Sejeong Bang
A finite group admits an {\em oriented regular representation} if there exists a Cayley digraph of such that it has no digons and its automorphism group is isomorphic to $G…
On symplectic automorphisms of elliptic surfaces acting on
Jiabin Du, Wenfei Liu
Let be a complex smooth projective surface of Kodaira dimension one. We show that the group of symplectic automorphisms acts trivially on the Albanese kerne…
On the existence and the enumeration of bipartite regular representations of Cayley graphs over abelian groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we are interested in the asymptotic enumeration of bipartite Cayley digraphs and Cayley graphs over abelian groups. Let be an abelian group and let be the aut…
A conjecture on bipartite graphical regular representations
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we are concerned with the classification of the finite groups admitting a bipartite DRR and a bipartite GRR. First, we find a natural obstruction in a finite group fo…
On Haar digraphical representations of groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we extend the notion of digraphical regular representations in the context of Haar digraphs. Given a group , a {\em Haar digraph} over is a bipartite digra…
A classification of the m-graphical regular representation of finite groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we extend the classical notion of digraphical and graphical regular representation of a group and we classify, by means of an explicit description, the finite groups…
Heptavalent symmetric graphs with solvable stabilizers admitting vertex-transitive non-abelian simple groups
Jia-Li Du, Yan-Quan Feng, Yu-Qin Liu
A graph is said to be symmetric if its automorphism group acts transitively on the arc set of . In this paper, we show that if is a finite connected heptava…
Pentavalent symmetric graphs admitting transitive non-abelian characteristically simple groups
Jia-Li Du, Yan-Quan Feng
Let be a graph and let be a group of automorphisms of . The graph is called -normal if is normal in the automorphism group of . Let be a finite non-abe…
Pentavalent symmetric graphs admitting vertex-transitive non-abelian simple groups
Jia-Li Du, Yan-Quan Feng, Jin-Xin Zhou
A graph Γis said to be {\em symmetric} if its automorphism group \Aut(Γ) is transitive on the arc set of Γ. Let be a finite non-abelian simple group and let Γbe a connected pen…
Tetravalent -arc-transitive Cayley graphs on non-abelian simple groups
Jia-Li Du, Yan-Quan Feng
A graph Gamma is said to be 2-arc-transitive if its full automorphism group Aut(Γ) has a single orbit on ordered paths of length 2, and for G\leq Aut(Γ), Γis G-regular if G is regu…