A new metric criterion for non-amenability I

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.

Cited by in corpus (1)

• A new metric criterion for non-amenability III: Non-amenability of R.Thompson's group F