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

Offered By: IMSA via YouTube

Tags

Geometric Group Theory Courses Group Theory Courses Hyperbolic Groups Courses

Course Description

Overview

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.

Syllabus

Introduction
Generalizations
Gamma Labels
Foldings
Cube Identification
When to Stop
Finite Subgroup
Quasi convexity
Completions
Applications
Finite Index
Commensurability
Algorithm
Terminal Object


Taught by

IMSA

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