3 papers
math.GR2024
Embedding relatively hyperbolic groups into products of binary trees
Patrick S. Nairne
We prove that if a group is relatively hyperbolic with respect to virtually abelian peripheral subgroups then quasiisometrically embeds into a product of binary trees. This…
math.GR2024
Two new constructions in the theory of projection complexes
Patrick S. Nairne
In this paper we provide two new constructions that are useful for the theory of projection complexes developed by Bestvina, Bromberg, Fujiwara and Sisto. We prove that there exist…
math.GR2022
Embeddings of Trees, Cantor Sets and Solvable Baumslag-Solitar Groups
Patrick S. Nairne
We characterise when there exists a quasiisometric embedding between two solvable Baumslag-Solitar groups. This extends the work of Farb and Mosher on quasiisometries between the s…