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arXiv · 2305.07113

Amenability problem for Thompson's group $F$: state of the art

Victor Guba
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Abstract

This is a survey of our recent results on the amenability problem for Thompson's group $F$. They mostly concern esimating the density of finite subgraphs in Cayley graphs of $F$ for various systems of generators, and also equations in the group ring of $F$. We also discuss possible approaches to solve the problem in both directions.

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Victor Guba. 2023-05-11. Amenability problem for Thompson's group $F$: state of the art. https://doi.org/10.46298/jgcc.2023.15.1.11315

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