Journal article
Absolute profinite rigidity and hyperbolic geometry
- Abstract:
- We construct arithmetic Kleinian groups that are profinitely rigid in the absolute sense: each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. The Bianchi group PSL(2, Z[ω]) with ω2 + ω + 1 = 0 is rigid in this sense. Other examples include the non-uniform lattice of minimal co-volume in PSL(2, C) and the fundamental group of the Weeks manifold (the closed hyperbolic 3–manifold of minimal volume).
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 463.8KB, Terms of use)
-
- Publisher copy:
- 10.4007/annals.2020.192.3.1
Authors
- Publisher:
- Princeton University, Department of Mathematics
- Journal:
- Annals of Mathematics More from this journal
- Volume:
- 192
- Issue:
- 2020
- Pages:
- 679-719
- Publication date:
- 2020-11-09
- Acceptance date:
- 2020-06-13
- DOI:
- ISSN:
-
0003-486X
- Language:
-
English
- Keywords:
- Pubs id:
-
1123509
- Local pid:
-
pubs:1123509
- Deposit date:
-
2020-08-04
- ARK identifier:
Terms of use
- Copyright holder:
- Department of Mathematics, Princeton University
- Copyright date:
- 2020
- Rights statement:
- © 2020 Department of Mathematics, Princeton University
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Princeton University, Department of Mathematics at: https://doi.org/10.4007/annals.2020.192.3.1
If you are the owner of this record, you can report an update to it here: Report update to this record