17 citations · 17 across the 6 of their papers we have counts for
7 papers · 1 filter
Quasiisometric embeddings of right-angled Artin groups into products
Shaked Bader, Oussama Bensaid, Harry Petyt
We provide obstructions to the existence of quasiisometric embeddings of right-angled Artin groups into products of trees, hyperbolic spaces, and other right-angled Artin groups.
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
We prove a range of rigidity results for quasiisometric embeddings between right-angled Artin groups. Among other things, we: (1) classify all self--quasiisometric-embeddings of RA…
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,…
GAGTA 2023 Problem Session
Henry Bradford, Christopher H. Cashen, Francesco Fournier-Facio +2
The conference `Geometric and Asymptotic Group Theory with Applications (GAGTA) 2023: Groups and Dynamics' took place at the Erwin Schrödinger Institute on July 17-21. These are th…
metrics on cell complexes
Thomas Haettel, Nima Hoda, Harry Petyt
Motivated by the observation that groups can be effectively studied using metric spaces modelled on , , and geometry, we consider cell complexes equip…
Coarse injectivity, hierarchical hyperbolicity, and semihyperbolicity
Thomas Haettel, Nima Hoda, Harry Petyt
We relate three classes of nonpositively curved metric spaces: hierarchically hyperbolic spaces, coarsely injective spaces, and strongly shortcut spaces. We show that every hierarc…