Presentations for Singly-Cusped Bianchi Groups
Description
Applying a classical theorem due to Macbeath applied to a suitably sized horoball, we calculate novel group presentations for singly-cusped Bianchi groups. We find new presentations for Bianchi groups with d = -43, -67, -163. With previously known presentations for d = -1, -2, -3, -7, -11, -19, this constitutes a complete set of presentations for singly-cusped Bianchi groups.
Date Created
The date the item was original created (prior to any relationship with the ASU Digital Repositories.)
2022-05
Agent
- Author (aut): Reese, Tanner
- Thesis director: Paupert, Julien
- Committee member: Childress, Nancy
- Contributor (ctb): Barrett, The Honors College
- Contributor (ctb): School of Mathematical and Statistical Sciences
- Contributor (ctb): Computer Science and Engineering Program