Traveller Salesman Property and Richard Thompson's Group
arXiv:math/0508014
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 has TSP. The aim of this article is to disprove this conjecture.
8 pages