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arxiv: math/0508014 · v1 · submitted 2005-07-30 · 🧮 math.GR

Traveller Salesman Property and Richard Thompson's Group F

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keywords propertyakhmedovgroupsalesmanthompsontravellerarticlecalled
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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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