Non-hyperbolic right-angled Coxeter groups with Menger curve boundary

Mr. Cong He
University of Wisconsin-Milwaukee
Dissertator

We find a class of simplicial complexes as nerves of CAT(0) right-angled Coxeter groups, with boundary homeomorphic to the Menger curve. Our nerves are triangulations of compact orientable surfaces with boundary. In particular, the nerves are non-graphs.

Advisor: Prof. Craig Guilbault

Committee Members:
Profs. Chris Hruska, Boris Okun, Jonah Gaster, and Kevin McLeod