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December 5th

# On finite generalized quadrangles with \(\mathrm{PSL}(2,q)\) as an automorphism group

## 陆建兵 Jianbing Lu

Zhejiang University (浙江大学）

Time: 16:00-17:00 (GMT+8), Tuesday December 5th, 2023

Location: Zoom

**Abstract:**
Let \(\mathcal{S}\) be a finite thick generalized quadrangle, and suppose that \(G\) is an automorphism group of \(\mathcal{S}\).
If \(G\) acts primitively on both the points and lines of \(\mathcal{S}\), then it is known that \(G\) must be almost simple.
In this talk, we show that if the socle of \(G\) is \(\mathrm{PSL}(2,q)\) with \(q\geq4\), then \(q=9\) and \(\mathcal{S}\) is the unique generalized quadrangle of order \(2\).

Host: 黄弘毅 Hong Yi Huang

Slides