Traveller Salesman Property and Richard Thompson's Group F
Victor Guba
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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