Corpus ID: 7577305

Quasi-isometric rigidity for the solvable

  title={Quasi-isometric rigidity for the solvable},
  author={Benson Farb},
  • Benson Farb
  • Published 1997
  • 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