8 papers · 1 filter
On intersections of locally quasiconvex subgroups
Nir Lazarovich, Zachary Munro
Let be locally quasiconvex, torsion-free subgroups of a hyperbolic group . We prove can be bounded in terms of and…
Ascending Chains in 3-Manifold and Relatively Hyperbolic Groups
Edgar A. Bering, Jakob Heikamp, Jack Kohav +2
We prove that any ascending chain of bounded rank subgroups in the fundamental group of a compact -manifold stabilizes. We use geometrization to reduce the proof to fundamental…
Strict C(6) complexes
Zachary Munro, Daniel T. Wise
We define strict C(n) small-cancellation complexes, intermediate to C(n) and C(n+1), and we prove groups acting properly cocompactly on a simply-connected strict C(6) complex are h…
On residual finiteness of graphs of free groups with cyclic edge groups
Adrien Abgrall, Zachary Munro
We characterize which groups splitting as finite graphs of free groups with cyclic edge groups are residually finite. Such a group is residually finite if and only if all its B…
The quadric flat torus theorem
Nima Hoda, Zachary Munro
We prove a flat torus theorem for quadric complexes. In particular, we show that if a non-cyclic free abelian group acts metrically properly on a quadric complex , then $G \…
Coarse obstructions to cocompact cubulation
Zachary Munro, Harry Petyt
We provide geometric methods to give bounds on the large-scale dimension of CAT(0) cube complexes quasiisometric to a given group . In situations where these bounds conflict we…