The large scale geometry of some metabelian groups
Geometric Topology
2007-05-23 v1 Group Theory
Abstract
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).
Cite
@article{arxiv.math/0301178,
title = {The large scale geometry of some metabelian groups},
author = {J. Taback and K. Whyte},
journal= {arXiv preprint arXiv:math/0301178},
year = {2007}
}