BYU

Abstract by Thomas Fackrell

Personal Infomation


Presenter's Name

Thomas Fackrell

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Curtis Kent

Title

Ends of Groups

Abstract

Geometric group theory studies algebraic properties of groups through the geometry of metric spaces on which they act. One can find the ends of a metric space by considering complements of compact sets within the metric space. Ends of a group are the ends of the metric space on which the group acts geometrically. Historically, the study of ends has been for finitely-generated groups, however we will be discussing ways to find ends for non-finitely-generated groups.