You are here: Seminars > 2022 > November 7th
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