Short loxodromics in graph products

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• Alice Kerr, Bristol
• Friday 14 March 2025, 13:45-14:45
• MR13.

If you have a question about this talk, please contact Macarena Arenas.

Let G be a finitely generated group, with finite generating set S. Suppose G contains elements with some property that we’re interested in. Can we find elements with this property uniformly quickly in G? That is, does S^n contain an element with this property for a bounded n?

We will discuss this question for graph products, where the elements we are looking for are ones with nice hyperbolic properties, such as loxodromic and Morse elements. We will also talk about consequences for the growth of these groups. This is joint work with Elia Fioravanti.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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