English

A new metric criterion for non-amenability I

Group Theory 2009-03-02 v1

Abstract

By studying the so-called traveling salesman groups, we obtain a new metric criterion for non-amenability. As an application, we give a new and very short proof of non-amenability of free Burnside groups with sufficiently big odd exponent.

Cite

@article{arxiv.0902.4755,
  title  = {A new metric criterion for non-amenability I},
  author = {Azer Akhmedov},
  journal= {arXiv preprint arXiv:0902.4755},
  year   = {2009}
}
R2 v1 2026-06-21T12:16:18.642Z