On the poly-freeness of Artin groups

Abstract: Artin group is an important class of groups under intensive study in recent years. It is a generalization of the braid groups. Bestvina asks whether all Artin groups are virtually poly-free. In this talk, we first give an introduction to poly-free groups and Artin groups. We explain some connections with the Farrell-Jones Conjecture. Then we explain some recent progress of Bestvina's question. In particular, we will give a short proof of the fact that Even Artin groups of FC-type are polyfree. Part of this is joint work with Benjamin Brück and Dawid Kielak.

algebraic topologydifferential geometrygeneral topologygroup theorygeometric topology

Audience: researchers in the topic

Ohio State Topology and Geometric Group Theory Seminar

Series comments: https://sites.google.com/view/topoandggt