3 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
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…
Regularity of quasigeodesics characterises hyperbolicity
Sam Hughes, Patrick S. Nairne, Davide Spriano
We characterise hyperbolic groups in terms of quasigeodesics in the Cayley graph forming regular languages. We also obtain a quantitative characterisation of hyperbolicity of geode…
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…