4 papers
Quasiisometric embeddings between right-angled Artin groups: flexibility
Shaked Bader, Oussama Bensaid, Harry Petyt
We give a complete characterisation of when the right-angled Artin group on one cycle graph can be quasiisometrically embedded in the right-angled Artin group on another cycle grap…
Quasiisometric embeddings between right-angled Artin groups: rigidity
Shaked Bader, Oussama Bensaid, Harry Petyt
By introducing branching conditions on the defining graph, we prove a range of rigidity results for quasiisometric embeddings between right-angled Artin groups. The starting point…
From branching quasiflats to flats in CAT(0) cube complexes
Shaked Bader, Oussama Bensaid, Harry Petyt
We study quasiisometric embeddings between finite-dimensional CAT(0) cube complexes. More specifically, we introduce geometric branching conditions under which flats in the domain,…
Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings
Shaked Bader, Robert Kropholler, Vladimir Vankov
In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric inequalities over ar…