The rates of growth in a hyperbolic group

01.06.2021 09:00 - 11:00

Koji Fujiwara (Kyoto University)

I discuss the set of rates of growth of a hyperbolic group with respect to all its finite generating sets. It turns out that the set is well-ordered, and that every real number can be the rate of growth of at most finitely many generating sets up to automorphism of the group. This is a joint work with Sela. If time permits, I will discuss other families of groups.

G. Arzhantseva and A. Evetts
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