Subgroups of Right-Angled Coxeter Groups via Stallings-like Techniques

Explore the intricacies of right-angled Coxeter groups in this 48-minute lecture by Pallavi Dani from Louisiana State University. Delve into the development of Stallings-like techniques for analyzing subgroups, a collaborative effort with Ivan Levcovitz. Begin with a brief introduction to Stallings folds and their impact on free group subgroup studies. Learn about the generalization of these techniques to right-angled Coxeter groups, covering topics such as Gamma labels, foldings, cube identification, and when to stop the process. Examine finite subgroups, quasi-convexity, and completions. Discover various applications, including finite index subgroups, commensurability, and algorithms. Conclude with insights into terminal objects and a novel construction of non-quasiconvex subgroups in hyperbolic groups.