9 citations · 40 across the 22 of their papers we have counts for
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math.GT2019
Groups with arbitrary cubical dimension gap
Robert Kropholler, Chris O'Donnell
We prove that if acts essentially, properly and cocompactly on a CAT(0) cube complex X, then the cube complex splits as a product. We use this theore…
math.GR2019
Right-angled Artin group boundaries
Michael Ben-Zvi, Robert Kropholler
In all known examples of a CAT(0) group acting on CAT(0) spaces with non-homeomorphic CAT(0) visual boundaries, the boundaries are each not path connected. In this paper, we show t…
math.GR2019
Incoherence and fibering of many free-by-free groups
Robert Kropholler, Genevieve Walsh
We show that free-by-free groups satisfying a homological criterion, which we call excessive homology, are incoherent. This class is large in nature, including many examples of hyp…