Jian-Bing Lu

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20242026

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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…

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 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 $PSU (3, q)$ , $q \geq 3$