Fuchsian Groups
Fuchsian groups are discrete subgroups of isometries of the hyperbolic plane. This thesis will primarily work with the upper half-plane model, though we will provide an example in the disk model. We will define Fuchsian groups and examine their properties geometrically and algebraically. We will al...
| Main Author: | |
|---|---|
| Format: | Others |
| Published: |
CSUSB ScholarWorks
2019
|
| Subjects: | |
| Online Access: | https://scholarworks.lib.csusb.edu/etd/838 https://scholarworks.lib.csusb.edu/cgi/viewcontent.cgi?article=2003&context=etd |
| Summary: | Fuchsian groups are discrete subgroups of isometries of the hyperbolic plane. This thesis will primarily work with the upper half-plane model, though we will provide an example in the disk model. We will define Fuchsian groups and examine their properties geometrically and algebraically. We will also discuss the relationships between fundamental regions, Dirichlet regions and Ford regions. The goal is to see how a Ford region can be constructed with isometric circles. |
|---|