Abstract
We determine C-special subgroups of the Bianchi groups with index bounded above by 120 by effectivising the arguments of Agol-Long-Reid. These subgroups are congruence of level 2 or 4 and retract to the free group on two generators. As a consequence, we find a C-special 20-sheeted cover of the figure-eight knot complement. We also determine C-special congruence subgroups for a family of cocompact arithmetic Kleinian groups.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 41-59 |
| Number of pages | 19 |
| Journal | Groups, Geometry, and Dynamics |
| Volume | 14 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© European Mathematical Society
Keywords
- Coxeter groups
- Hyperbolic 3-manifolds
- Kleinian groups
- Virtually special groups
Fingerprint
Dive into the research topics of 'Special subgroups of Bianchi groups'. Together they form a unique fingerprint.Cite this
- APA
- Standard
- Harvard
- Vancouver
- Author
- BIBTEX
- RIS