9 citations · 9 across the 4 of their papers we have counts for
9 papers
Periodic quasiflats in hierarchically hyperbolic spaces
Pénélope Azuelos, Mark Hagen
We prove a quasiflat closing theorem and a coarse flat torus theorem for hierarchically hyperbolic groups (HHGs). Namely, given an HHG , we prove that is hyperbolic if and o…
Coarse embeddings of products of trees as quasi-isometry invariants
Mark Hagen, Alessandro Sisto
We consider the maximal number of factors of a product of bushy trees that can be quasi-isometrically, or even coarsely embedded into various groups of interest, including mapping…
Characterizing hierarchically hyperbolic free by cyclic groups
Eliot Bongiovanni, Pritam Ghosh, Funda Gültepe +1
We algebraically characterize free by cyclic groups that have coarse medians, and prove that this is equivalent to the a priori stronger properties of being colourable hierarchical…
On embeddings of CAT(0) cube complexes into products of trees
Victor Chepoi, Mark F. Hagen
We prove that the contact graph of a 2-dimensional CAT(0) cube complex of maximum degree can be coloured with at most colours, for a fixed constant…
A Combinatorial Structure for Many Hierarchically Hyperbolic Spaces
Mark Hagen, Giorgio Mangioni, Alessandro Sisto
The combinatorial hierarchical hyperbolicity criterion is a very useful way of constructing new hierarchically hyperbolic spaces (HHSs). We show that, conversely, HHSs satisfying n…
Combination theorems for Wise's power alternative
Mark Hagen, Alexandre Martin, Giovanni Sartori
We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups, and recover known results from…