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

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

2005-07-30

arxiv.org/abs/math/0508014v1

Mathematics

Group Theory

8 pages

Scientific paper

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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