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

Group Theory 2007-05-23 v1

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 FF has TSP. The aim of this article is to disprove this conjecture.

Keywords

Cite

@article{arxiv.math/0508014,
  title  = {Traveller Salesman Property and Richard Thompson's Group $F$},
  author = {Victor Guba},
  journal= {arXiv preprint arXiv:math/0508014},
  year   = {2007}
}

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8 pages