Coxeter Groups and the Davis Complex

Abstract

We take a constructive and active look at group theory, by focusing on the action of finitely presented groups on CW-complexes. In particular, we focus on the action of Coxeter groups on the so-called Davis complex. Students are invited to participate in several constructions and investigate the group theoretic and geometric properties of the Davis complex. Students are encouraged to check the references on the included concepts and definitions, especially the italicized words.