Date of Award
August 2023
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Craig Guilbault
Abstract
We find a class of simplicial complexes as nerves of non-hyperbolic right-angled Coxetergroups, with boundary homeomorphic to the Menger curve. The nerves are triangulations of compact orientable surfaces with boundary. In particular, the nerves are non-graphs.
Recommended Citation
He, Cong, "Non-Hyperbolic Right-Angled Coxeter Groups with Menger Curve Boundary" (2023). Theses and Dissertations. 3272.
https://dc.uwm.edu/etd/3272