9 citations · 9 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Cubulating mapping tori of some polynomial growth free group automorphisms
Mark Hagen, Daniel T Wise
Let be a finite-rank free group and let have polynomial growth. Let . We give sufficient conditions on that ensure acts…
Induced quasi-isometries of hyperbolic spaces, Markov chains, and acylindrical hyperbolicity
Antoine Goldsborough, Mark Hagen, Harry Petyt +2
We show that quasi-isometries of (well-behaved) hierarchically hyperbolic groups descend to quasi-isometries of their maximal hyperbolic space. This has two applications, one relat…