Coarse classification of abelian groups and amenable shift-homogeneous metric spaces
Metric Geometry
2014-12-16 v1 Group Theory
Abstract
In this paper we classify countable locally finite-by-abelian groups up to coarse isomorphism. This classification is derived from a coarse classification of amenable shift-homogeneous metric spaces.
Keywords
Cite
@article{arxiv.1412.4296,
title = {Coarse classification of abelian groups and amenable shift-homogeneous metric spaces},
author = {Taras Banakh and Matija Cencelj and Dušan Repovš and Ihor Zarichnyi},
journal= {arXiv preprint arXiv:1412.4296},
year = {2014}
}
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12 pages