Sun, 11 Feb 2024
14:00
L5

TBA

Itay Glazer
(Technion - Israel Institute of Technology)
Tue, 04 Feb 2025
15:00
L6

Random elements in finite groups

Michał Marcinkowski
Abstract

How to uniformly, or at least almost uniformly, choose an element from a finite group ? When G is too large to enumerate all its elements, direct (pseudo)random selection is impossible. However, if we have an explicit set of generators of G (e.g., as in the Rubik's cube group), several methods are available. This talk will focus on one such method based on the well-known product replacement algorithm. I will discuss how recent results on property (T) by Kaluba, Kielak, Nowak and Ozawa partially explain the surprisingly good performance of this algorithm.

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