From the 1 of 5 linked papers with an AI index.
5 papers
Exceptional groups and the s-arc-transitivity of vertex-primitive digraphs, II
Lei Chen, Fu-Gang Yin
The paper classifies the primitive actions of almost simple groups with socle E7(q) or E8(q) on s‑arc‑transitive vertex‑primitive digraphs, completing the analysis for all exceptio…
Exceptional groups and the -arc-transitivity of vertex-primitive digraphs, I
Fu-Gang Yin, Lei Chen
In this paper, we study the primitive actions of almost simple exceptional groups of Lie type on \(s\)-arc-transitive digraphs. Our motivation is the following question posed by Gi…
The distinguishing number of complete bipartite and crown graphs
Lei Chen, Alice Devillers, Luke Morgan +1
The distinguishing number of a permutation group $G\leqslant\Sym(Ω)$ is the minimum number of colours needed to colour in such a way that the only colour preserving element o…
Quasiprimitive and bi-quasiprimitive highly-arc-transitive digraphs and finite simple groups
Lei Chen, Cheryl Praeger
We extend the notion of an -normal quotient digraph of an -vertex-transitive digraph to that of an -subnormal quotient digraph. Using these concepts, together with biparti…
The normal closure of a homological genus 0 bounding pair map
Lei Chen, Weiyan Chen
Justin Lanier and the authors recently determined the group normally generated by a single bounding pair map of genus . We related this subgroup with the Chillingworth subgroup…