Date of Award
August 2014
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
G. C. Hruska
Committee Members
Suzanne Boyd, Frederic Ancel, Hans Volkmer, Craig Guilbault
Keywords
Group, Hyperbolic, Relatively Hyperbolic, Statistically Hyperbolic
Abstract
In this work, we begin by defining what it means for a group to be statistically hyperbolic. We then give several examples of groups, including non-elementary hyperbolic groups, which either are statistically hyperbolic or are not. Following that, we define what it means for a group to be relatively hyperbolic. Finally, in the main portion of this work, we show that groups which are relatively hyperbolic, with a few additional conditions in place, must also be statistically hyperbolic.
Recommended Citation
Osborne, Jeremy, "Statistical Hyperbolicity of Relatively Hyperbolic Groups" (2014). Theses and Dissertations. 569.
https://dc.uwm.edu/etd/569