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

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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.
8 pages

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Group Theory, 20F32 05C25

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http://salesiana.dossiersoluciones.com/handle/123456789/75942

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0508014
 http://arxiv.org/abs/math/0508014

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arXiv