Quasi-isometric rigidity for the solvable

  title={Quasi-isometric rigidity for the solvable},
  author={Benson Farb},
Introduction Gromov's Polynomial Growth Theorem [Gro81] characterizes the class of virtually nilpotent groups by their asymptotic geometry. Since Gromov's theorem it has been a major open question (see, e.g. [GH91]) to find an appropriate generalization for solvable groups. This paper gives the first step in that direction. One fundamental class of examples of finitely-generated solvable groups which are not virtually nilpotent are the solvable Baumslag-Solitar groups BS(1, n) = a, b bab −1 = a… CONTINUE READING
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