群与图讨论班 Seminars on Groups and Graphs

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Bases for primitive permutation groups

黄弘毅 Hong Yi Huang

University of Bristol

Time: 16:00-18:00 (GMT+8), Tuesday May 24th, 2022
Location: Tencent Meeting

Abstract: Let $$G \leqslant \mathrm{Sym}(\Omega)$$ be a permutation group and recall that a base for $$G$$ is a subset of $$\Omega$$ with trivial pointwise stabiliser. Bases have been studied for many decades and an ambitious project initiated by Jan Saxl in the 1990s seeks to determine the primitive groups with a base of size $$2$$. In recent years, there has been significant progress towards this goal and I will review some of the latest developments. I will also report on recent work concerning the Saxl graph of a base-two permutation group, which was recently introduced by Burness and Giudici. Some of the new results are based on recent joint work with Tim Burness.

Host: 谢贻林 Yilin Xie

Slides