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Traveller Salesman Property and Richard Thompson's Group $F$

Victor Guba
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Abstract

Recently Akhmedov introduced a property of finitely generated groups called the Traveller Salesman Property (TSP). It was shown by Thurston that TSP implies non-amenability. Akhmedov conjectured that R. Thompson's group $F$ has TSP. The aim of this article is to disprove this conjecture.

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Victor Guba. 2005-07-30. Traveller Salesman Property and Richard Thompson's Group $F$. https://arxiv.org/abs/math/0508014

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