Traveller Salesman Property and Richard Thompson's Group F

2005/07/30 by Victor Guba, Guba, Victor
Mathematics · #20F32 05C25 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:05C25 #msc:20F32

paper · pdf · doi:10.48550/arxiv.math/0508014

8 pages

arxiv created 2005/07/30 · arxiv updated 2009/12/01

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.

Related

• Non-amenability of R.Thompson's group F
• A note on Shavgulidze's papers concerning the amenability problem for Thompson's group F
• Richard Thompson group F is not amenable
• A new metric criterion for non-amenability I
• On Thompson Problem