Embedding relatively hyperbolic groups in products of trees
Embedding relatively hyperbolic groups in products of trees
We show that a relatively hyperbolic group quasi-isometrically embeds in a product of finitely many trees if the peripheral subgroups do, and we provide an estimate on the minimal number of trees needed.Applying our result to the case of 3manifolds, we show that fundamental groups of closed 3-manifolds have linearly …