"Geometry and Analysis on Groups" Research Seminar
Time: 2016.03.08, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: "Uniform Diameter Bounds in Pro-p Groups."
Speaker: Henry Bradford (University of Cambridge)
We give new upper bounds for the diameters of finite groups arising as images of certain profinite groups, including p-adic analytic groups and the Nottingham group. Our bounds do not depend on a choice of generating set. Our method exploits the commutator structure of the profinite groups we study, in a manner reminiscent of the Solovay-Kitaev procedure from quantum computation.