Past Events
Fixed points in permutation groups
Daniele Garzoni - University of Southern California
Location: Hill 705
Date & time: Wednesday, 15 April 2026 at 2:00PM - 3:00PM
I will discuss a recent result obtained in joint work with Robert Guralnick and Martin Liebeck: If G is a finite primitive non-regular permutation group of degree n, then G contains an element fixing at least one and at most n^{1/3} points. This confirms an old conjecture of Peter Neumann. The case where G is affine was addressed by Guralnick and Malle, and our work focuses on the case where G is not affine.
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