Coarse differentiation and quasi-isometries of a class of solvable Lie groups II

@article{Peng2008CoarseDA,
  title={Coarse differentiation and quasi-isometries of a class of solvable Lie groups II},
  author={Irine Peng},
  journal={Geometry \& Topology},
  year={2008},
  volume={15},
  pages={1883-1925}
}
  • I. Peng
  • Published 19 February 2008
  • Mathematics
  • Geometry & Topology
In this paper, we continue with the results in [12] and compute the group of quasiisometries for a subclass of split solvable unimodular Lie groups. Consequently, we show that any finitely generated group quasi-isometric to a member of the subclass has to be polycyclic and is virtually a lattice in an abelian-by-abelian solvable Lie group. We also give an example of a unimodular solvable Lie group that is not quasi-isometric to any finitely generated group, as well deduce some quasi-isometric… 

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