这是群论和图论方向的线上系列报告,我们希望能够促进国内外青年学者(博士生为主)在群论和图论研究上的交流。报告主题分布在(但不限于)以下研究方向:
This is a platform for young group theorists and graph theorists (mostly PhD students) to talk about their research and related topics online. The topic can be anything related to group theory and graph theory, including but not limited to the following.
一般地,系列报告定期于北京时间每周二下午16:00-17:00进行。
Our usual time is Tuesday 16:00-17:00 (GMT+8).
Title: On finite generalized quadrangles with \(\mathrm{PSL}(2,q)\) as an automorphism group
Speaker: 陆建兵 Jianbing Lu (Zhejiang University)
Time: 16:00-17:00 (GMT+8), Tuesday December 5th
Location: Zoom: 856 490 7913 (password: gtseminar)
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 \(2\).
丁兆宸 Zhaochen Ding (University of Auckland)
黄弘毅 Hong Yi Huang (University of Bristol)
谢贻林 Yilin Xie (SUSTech)