%0 Journal Article
%T The large scale geometry of some metabelian groups
%A J. Taback
%A K. Whyte
%J Mathematics
%D 2003
%I arXiv
%X We study the large scale geometry of the upper triangular subgroup of PSL(2,Z[1/n]), which arises naturally in a geometric context. We prove a quasi-isometry classification theorem and show that these groups are quasi-isometrically rigid with infinite dimensional quasi-isometry group. We generalize our results to a larger class of groups which are metabelian and are higher dimensional analogues of the solvable Baumslag-Solitar groups BS(1,n).
%U http://arxiv.org/abs/math/0301178v1