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

gcc:11315 - journal of Groups, complexity, cryptology, October 19, 2023, Volume 15, Issue 1 - https://doi.org/10.46298/jgcc.2023.15.1.11315
Amenability problem for Thompson's group $F$: state of the artArticle

Authors: Victor Guba

    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.


    Volume: Volume 15, Issue 1
    Published on: October 19, 2023
    Submitted on: May 15, 2023
    Keywords: Mathematics - Group Theory,20F05, 05C25,G.0

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