Jianbing Lu

activity

20242026

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5 papers · 1 filter

math.CO2026

Generalized quadrangles with a point-primitive and line-primitive automorphism group with socle $\PSp_4(q)$

Meizi Ou, Jianbing Lu

Let $\mc{S}$ be a finite thick generalized quadrangle, and let $G\leq \Aut(\mc{S})$ act primitively on both points and lines. Building on the almost simple reduction for point-prim…

math.CO2025

Flag-transitive $2$ - $(v, k, I^»)$ designs with $I^» \geq (r, I^»)^{2}$

Junchi Zhang, Jianbing Lu, Meizi Ou

This paper is devoted to the study of $2$ -designs with $I^» \geq (r, I^»)^{2}$ admitting a flag-transitive automorphism group $G$ . The group $G$ has been shown to be point-primitive of ei…

math.CO2025

Flag-transitive point-primitive quasi-symmetric $2$ -designs and exceptional groups of Lie type

Jianbing Lu

Let $D$ be a non-trivial quasi-symmetric $2$ -design with two block intersection numbers $x = 0$ and $2 \leq y \leq 10$ , and suppose that $G$ is an automorphism group of $\math…

math.CO2024

Flag-transitive point-primitive quasi-symmetric $2$ -designs with block intersection numbers $0$ and $y \leq 10$

Jianbing Lu, Yu Zhuang

In this paper, we show that for a non-trivial quasi-symmetric $2$ -design $D$ with two block intersection numbers $x = 0$ and $2 \leq y \leq 10$ , if $G\leq \mathrm{Aut}(\mathca…

math.CO2024

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle $PSU (3, q)$ , $q \geq 3$

Jianbing Lu, Yingnan Zhang, Hanlin Zou

A central problem in the study of generalized quadrangles is to classify finite generalized quadrangles satisfying certain symmetry conditions. It is known that an automorphism gro…

Generalized quadrangles with a point-primitive and line-primitive automorphism group with socle $\PSp_4(q)$

Flag-transitive 2-(v,k,I^») designs with I^»≥(r,I^»)2

Flag-transitive point-primitive quasi-symmetric 2-designs and exceptional groups of Lie type

Flag-transitive point-primitive quasi-symmetric 2-designs with block intersection numbers 0 and y≤10

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle PSU(3,q), q≥3

Flag-transitive $2$ - $(v, k, I^»)$ designs with $I^» \geq (r, I^»)^{2}$

Flag-transitive point-primitive quasi-symmetric $2$ -designs and exceptional groups of Lie type

Flag-transitive point-primitive quasi-symmetric $2$ -designs with block intersection numbers $0$ and $y \leq 10$

Nonexistence of generalized quadrangles admitting a point-primitive and line-primitive automorphism group with socle $PSU (3, q)$ , $q \geq 3$