# 群与图讨论班 Seminars on Groups and Graphs

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# The EKR property of permutation groups

## 谢贻林 Yilin Xie

SUSTech

Time: 16:00-18:00 (GMT+8), Sunday January 16th, 2022
Location: Tencent Meeting

Abstract: In this talk, we will learn the histories and developments of EKR-properties of permutation groups which include the following:

- EKR problems for sets and some other algebraic objects.
- EKR problems for permutation groups.
- Permutation group approaches and some related results.
- Some algebraic graph theory approaches, group-representation approaches, and relating results.
We will not include the combinational proof of the natural action of $$S_n$$ on $$n$$ points has the strict EKR property, but we recommend you to read this material.

Host: 黄弘毅 Hong Yi Huang