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:
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.
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).
Title: The base size of the symmetric group
Speaker: Coen del Valle (University of St. Andrews)
Time: 16:00-17:00 (GMT+8), Wednesday May 22nd
Location: Zoom: 616 601 4311 (passcode: gts2024)
Abstract:
A base for a group of permutations of a set \(\Omega\) is a subset of
\(\Omega\) whose pointwise stabiliser contains only the identity permutation.
Useful for computational applications,
determining the minimum possible size of a base --- called the base size --- of a group
has been the subject of a large amount of research over the past forty years.
In this talk we will discuss results pertaining to the base size of the symmetric group \(S_n\),
and describe recent work which completely determines the base size of all primitive actions of \(S_n\).
The seminar is currently based at the Southern University of Science and Technology (SUSTech, 南方科技大学).