Zachary A. Munro

activity

20192022

most cited2-dimensional Coxeter groups are biautomatic

4 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.GR2022

A note on abelian cubulated groups

Zachary Munro

An abelian group acting freely on a $CAT (0)$ cube complex is free abelian.

math.GR2020★ 4 cited

2-dimensional Coxeter groups are biautomatic

Zachary Munro, Damian Osajda, Piotr Przytycki

Let $W$ be a $2$ -dimensional Coxeter group, that is, a one with $\frac{1}{m _{s t}} + \frac{1}{m _{sr}} + \frac{1}{m _{t r}} \leq 1$ for all triples of distinct $s, t, r \in S$ . We prove that $…

math.GR2019★ 1 cited

Weak Modularity and $A_{n}$ Buildings

Zachary Munro

The $A_{n}$ Coxeter groups are known to not be systolic or cocompactly cubulated for $n \geq 3$ . We prove that these groups act geometrically on weakly modular graphs, a w…

A note on abelian cubulated groups

2-dimensional Coxeter groups are biautomatic

Weak Modularity and An​ Buildings

Weak Modularity and $A_{n}$ Buildings