Abstract
In this paper, we continue with the results of the preceeding paper and compute the group of quasi-isometries 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 rigidity results.
Citation
Irine Peng. "Coarse differentiation and quasi-isometries of a class of solvable Lie groups II." Geom. Topol. 15 (4) 1927 - 1981, 2011. https://doi.org/10.2140/gt.2011.15.1927
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