149 citations · 710 across the 38 of their papers we have counts for
Showing 2012 · math.GRShow all
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math.GR2012★ 20 cited
Cubulated groups: thickness, relative hyperbolicity, and simplicial boundaries
Jason Behrstock, Mark F. Hagen
Let G be a group acting geometrically on a CAT(0) cube complex X. We prove first that G is hyperbolic relative to the collection P of subgroups if and only if the simplicial bounda…
math.GR2012★ 7 cited
Cocompactly cubulated crystallographic groups
Mark F. Hagen
We prove that the simplicial boundary of a CAT(0) cube complex admitting a proper, cocompact action by a virtually $\integers^n$ group is isomorphic to the hyperoctahedral triangul…
math.GR2012★ 36 cited
The simplicial boundary of a CAT(0) cube complex
Mark F. Hagen
For a CAT(0) cube complex , we define a simplicial flag complex , called the \emph{simplicial boundary}, which is a natural setting for studying non…