On the coarse geometry of solvable Baumslag-Solitar groups and relatively hyperbolic groups

<p>Firstly, we prove that the solvable Baumslag--Solitar groups are rigid under quasiisometric embeddings, strengthening a classic result of Farb and Mosher. These same ideas allow us to give a quasiisometric classification of treebolic spaces, confirming a conjecture of Woess. Both of these r...