Mathematics – Group Theory
Scientific paper
1998-09-02
Invent. Math. 137 (1999), no. 3, 613--649
Mathematics
Group Theory
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.
Farb Benson
Mosher Lee
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