Quasi-isometric rigidity for the solvable Baumslag-Solitar groups, II
Group Theory
2009-10-31 v1 Geometric Topology
Abstract
Let BS(1,n)= < a,b: aba^{-1}=b^n >. We prove that any finitely-generated group quasi-isometric to BS(1,n) is (up to finite groups) isomorphic to BS(1,n). We also show that any uniform group of quasisimilarities of the real line is bilipschitz conjugate to an affine group.
Keywords
Cite
@article{arxiv.math/9809010,
title = {Quasi-isometric rigidity for the solvable Baumslag-Solitar groups, II},
author = {Benson Farb and Lee Mosher},
journal= {arXiv preprint arXiv:math/9809010},
year = {2009}
}
Comments
42 pages. see also http://www.math.uchicago.edu/~farb