Date of Award

August 2020

Degree Type

Dissertation

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Geoffrey Hruska

Committee Members

Jonah Gastor, Craig Guilbault, Kevin Mcleod, Boris Okun

Keywords

Geometric Group Theory, Topology

Abstract

If the Bowditch boundary of a finitely generated relatively hyperbolic group is connected, then, we show that it is locally connected. Bowditch showed that this is true provided the peripheral subgroups obey certain tameness condition. In this paper, we show that these tameness conditions are not necessary.

Included in

Mathematics Commons

Share

COinS