Quasi-isometric rigidity for the solvable Baumslag-Solitar groups, II

Mathematics – Group Theory

Scientific paper

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42 pages. see also http://www.math.uchicago.edu/~farb

Scientific paper

10.1007/s002220050337

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.

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