17 citations · 17 across the 6 of their papers we have counts for
7 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
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…
Mapping class groups are quasicubical
Harry Petyt
It is proved that the mapping class group of any closed surface with finitely many marked points is quasiisometric to a CAT(0) cube complex. We provide two distinct proofs, one tai…
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…