Amenability problem for Thompson's group $F$: state of the art
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Published:2023-10-19
Issue:
Volume:Volume 15, Issue 1
Page:
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ISSN:1869-6104
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Container-title:journal of Groups, complexity, cryptology
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language:en
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Short-container-title:
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.
Publisher
Centre pour la Communication Scientifique Directe (CCSD)
Subject
Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Computer Networks and Communications