You are here: Seminars > 2023 > 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