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：

- - 有限单群（有限单群分类定理，子群结构，共轭类等）
- - 置换群与传递图
- - 线性代数群与李型群
- - 有限群的表示
- - 有限\(p\)-群
- - 图的谱理论

我们欢迎更多的科研工作者参与到此系列报告中，分享最新的研究成果，课题综述，技巧方法等。如果您有意愿做报告，或者想为我们推荐报告人，请联系丁兆宸（邮箱

dzha470@aucklanduni.ac.nz）。

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.

- - Finite simple groups (CFSG, subgroup structures and conjugacy classes)
- - Permutation groups and transitive graphs
- - Linear algebraic groups and Lie type groups
- - Representations of finite groups
- - Finite \(p\)-groups
- - Spectral theory of graphs

If you are a young group theorist or graph theorist, and want to give a talk, please drop an email to Zhaochen Ding at

dzha470@aucklanduni.ac.nz.
We would also love to hear any suggestions you have for speakers.
Don't worry if you have no new results -- we also warmly welcome any survey, or even a method that you find helpful, on any related topic.

## Time

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).

## Forthcoming Seminars

- December 5th: 陆建兵 Jianbing Lu (Zhejiang University)

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

Zoom 856 490 7913 (password: gtseminar)

### The Next Seminar

**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 \(2\).

## Current Organizers

*The seminar is currently based at the Southern University of Science and Technology (SUSTech, 南方科技大学).*
丁兆宸 Zhaochen Ding (University of Auckland)

黄弘毅 Hong Yi Huang (University of Bristol)

谢贻林 Yilin Xie (SUSTech)