Zachary Munro

activity

20242026

collaborators

6 papers

math.GR2026

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 $G$ acts metrically properly on a quadric complex $X$ , then $G \…

math.GR2026

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 $3$ -manifold stabilizes. We use geometrization to reduce the proof to fundamental…

math.GR2025

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 $G$ . In situations where these bounds conflict we…

math.GR2025

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…

math.GR2025

Random groups are not n-cubulated

Zachary Munro

A group $G$ has $F W_{n}$ if every action on a $n$ -dimensional $CAT (0)$ cube complex has a global fixed point. This provides a natural stratification between Serre's $F A$ and…

math.GR2024

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 $G$ is residually finite if and only if all its B…