Abstract:

When a finite set of generators of a group is fixed, one can study the sets of elements that can be represented as words of fixed length in the generators. We will discuss what can be said about the group if the growth function of these sets is given, and what can be said about the growth function if the group is given (but not the finite generating set).

Link: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=bd97b6dc-c4ea-4aa7-8399-ade700a450da