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)
- 置换群及其在组合结构上的作用
- 线性代数群与李型群
- 有限群的表示
- 有限\(p\)-群
- 图的谱理论

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 their actions on combinatorial structures
- Linear algebraic groups and Lie type groups
- Representations of finite groups
- Finite \(p\)-groups
- Spectral theory of graphs


Time

一般地,系列报告定期于北京时间每周三下午16:00-17:00进行。

Our usual time is Wednesday 16:00-17:00 (GMT+8).


Forthcoming Seminars

October 23rd: 谢贻林 Yilin Xie (SUSTech)
On fixer for finite Ree groups with solce \({}^2G_2(q)\)
Zoom 856 490 7913 (passcode: gtseminar)

The Next Seminar

Title: On fixer for finite Ree groups with solce \({}^2G_2(q)\)

Speaker: 谢贻林 Yilin Xie (SUSTech)

Time: 16:00-17:00 (GMT+8), Wednesday October 23rd

Location: Zoom: 856 490 7913 (passcode: gts2024)

Abstract: Let \(G\) be a transitive permutation group on \(\Omega\). A subgroup \(K≤G\) is called a fixer if each element in \(K\) fixes at least one point in \(\Omega\). A fixer \(K\) is called large if \(K\geqslant |G_\omega|\). In this talk, I will sketch the proof of characterizing large fixers for primitive actions of finite Ree groups with socle \({}^2G_2(q)\), where \(q=3^{2n+1}\), as part of the project of characterizing large fixers for lie-type group of (twisted) rank 1. In particular, I will first introduce the group \({}^2G_2(q)\), its subgroups, and conjugacy classes of unipotent elements. Then we characterize the large fixers of primitive actions of \({}^2G_2(q)\) by walking the subgroup lattice. We will study a family of additive subgroups of finite field \(F_q\) and their intersection to eliminate one special case. Finally, we will involve in the field automorphism and see which fixer of primitive actions of \({}^2G_2(q)\) can be extended to Aut\(({}^2G_2(q))\).

Other Confirmed Speakers

Jiaping Lu (University of St Andrews)

Current Organizers

陈俊彦 Junyan Chen (SUSTech)
丁兆宸 Zhaochen Ding (University of Auckland)
黄弘毅 Hong Yi Huang (University of Bristol)
尹富纲 Fu-Gang Yin (Central South University)

The seminar is currently based at the Southern University of Science and Technology (SUSTech, 南方科技大学).