3 papers
math.GR2025
Block-transitive -() designs with as socle
Guoqiang Xiong, Haiyan Guan
Let be a non-trivial block-transitive - design with $G\leq \Aut(\mathcal{D})$ and $X\unlhd G\leq \Aut(X)$, where $X=PSL(n,q)(…
math.GR2025
Block-transitive t-(k^2,k,λ) designs associated to two dimensional projective special linear groups
Guoqiang Xiong, Haiyan Guan
This paper investigates block-transitive automorphism groups of t-(k^2,k,λ) designs. Let D be a non-trivial t-(k^2,k,λ) design, G \leq \Aut(D) be block-transitive with X\unlhd G\…
math.GR2025
Block-transitive t-(k^2,k,\lam) designs and simple exceptional groups of Lie type
Xingyu Chen, Haiyan Guan
Let G be an automorphism group of a nontrivial t-(k^2,k,λ) design. In this paper, we prove that if G is block-transitive, then the socle of G cannot be a finite simple exceptional…