Publication Date
Spring 2025
Degree Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
Advisor
Edgar Bering IV; Marion Campisi; Slobodan Simic
Abstract
Discrete groups of M¨obius transformations, called Kleinian groups, act on the Riemann sphere. We explore the connection between M¨obius transformations and PSL(2,C), its subgroups, and linear algebraic properties to understand the dynamics of various Kleinian groups, including Fuchsian groups and Schottky groups. In particular, we use Mathematica to program visualizations of Schottky groups and their limit sets.
Recommended Citation
Nguyen, Genevieve, "Visions of Kleinian Groups" (2025). Master's Theses. 5660.
DOI: https://doi.org/10.31979/etd.5wg7-2cd6
https://scholarworks.sjsu.edu/etd_theses/5660
