### Quasi-trees and product set growth

Geometry and Topology Seminar

18th May 2021, 2:00 pm – 3:00 pm

Zoom seminar, if interested, please email one of the organisers to gain access to the Zoom link

A standard question in group theory is to ask if we can categorise the subgroups of a group in terms of their growth. In this talk we will be asking this question for uniform product set growth, a property that is stronger than the more widely understood notion of uniform exponential growth. We will see how quasi-trees could help us answer this question for acylindrically hyperbolic groups, and give a particular application to right-angled Artin groups.

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