Complete characterization of quasiisometric embeddings between RAAGs on cycle graphs, including exotic cases without subgroup relations and hyperbolic plane embeddings into certain RAAGs.
[CDP90] Michel Coornaert, Thomas Delzant, and Athanase Papadopoulos.G ´eom´etrie et th´eorie des groupes, volume 1441 ofLecture Notes in Mathematics
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
fields
math.GR 4verdicts
UNVERDICTED 4representative citing papers
Branching conditions on RAAG defining graphs force quasiisometric embeddings to induce extension graph embeddings, enabling rigidity theorems including obstructions to tree-product embeddings, classifications for cycle RAAGs, and non-universal receivers in each dimension.
Under geometric branching conditions, quasiisometric embeddings of CAT(0) cube complexes map flats to near-flats, inducing embeddings on Tits boundary graphs.
The class of acylindrically hyperbolic groups with uniform exponential growth is closed under geometric small cancellation quotients, implying a group with uniform growth but arbitrarily large torsion balls and universal lower bounds on growth rates for C''(λ) groups.
citing papers explorer
-
Quasiisometric embeddings between right-angled Artin groups: flexibility
Complete characterization of quasiisometric embeddings between RAAGs on cycle graphs, including exotic cases without subgroup relations and hyperbolic plane embeddings into certain RAAGs.
-
Quasiisometric embeddings between right-angled Artin groups: rigidity
Branching conditions on RAAG defining graphs force quasiisometric embeddings to induce extension graph embeddings, enabling rigidity theorems including obstructions to tree-product embeddings, classifications for cycle RAAGs, and non-universal receivers in each dimension.
-
From branching quasiflats to flats in CAT(0) cube complexes
Under geometric branching conditions, quasiisometric embeddings of CAT(0) cube complexes map flats to near-flats, inducing embeddings on Tits boundary graphs.
-
Uniform growth in small cancellation groups
The class of acylindrically hyperbolic groups with uniform exponential growth is closed under geometric small cancellation quotients, implying a group with uniform growth but arbitrarily large torsion balls and universal lower bounds on growth rates for C''(λ) groups.