# 群与图讨论班 Seminars on Groups and Graphs

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# An introduction to Erdős-Ko-Rado property for permutation groups

## 谢贻林 Yilin Xie

SUSTech

Time: 16:00-18:00 (GMT+8), Monday November 7th, 2022
Location: Tencent Meeting

Abstract: Let $$G\leq\mathrm{Sym}(\Omega)$$ be a transitive permutation group with point stabiliser $$H = G_\omega$$. A subset $$S$$ of $$G$$ is called an intersecting subset if $$s_1s_2^{-1}$$ has a fixed point for any $$s_1,s_2\in S$$, and $$G$$ is said to have the EKR property if $$G$$ has no intersecting subset $$S$$ with $$|S|>|H|$$. I will review the recent development of the study of the EKR properties and show some examples of intersecting subsets in the literature.

Host: 黄弘毅 Hong Yi Huang

Slides