Speaker：Tim Burness (University of Bristol)

Time：2025-4-23, 15:00

Location：Conference Room S107 at Experiment Building at Haiyun Campus

Abstract:

Let G be a finite transitive permutation group on a set X and recall that an element in G is a derangement if it has no fixed points on X. Let D(G) be the set of derangements in G and define d(G) = |D(G)|/|G|. By combining recent work of Larsen, Shalev and Tiep with a theorem of Fulman and Guralnick, it follows that G = D(G)^2 and d(G) > 0.016 for all sufficiently large simple transitive groups G.