Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.09782 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909955006660608 |
|---|---|
| author | Oh, Josiah |
| author_facet | Oh, Josiah |
| contents | We demonstrate quasi-isometric rigidity for the product of a non-uniform rank one lattice and a nilpotent lattice. Specifically, we show that any finitely-generated group quasi-isometric to such a product is, up to finite noise, an extension of a non-uniform rank one lattice by a nilpotent lattice. Furthermore, we show under extra conditions that this extension is nilcentral, a notion which generalizes central extensions to extensions by a nilpotent group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09782 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-isometric rigidity for a product of lattices Oh, Josiah Geometric Topology Group Theory We demonstrate quasi-isometric rigidity for the product of a non-uniform rank one lattice and a nilpotent lattice. Specifically, we show that any finitely-generated group quasi-isometric to such a product is, up to finite noise, an extension of a non-uniform rank one lattice by a nilpotent lattice. Furthermore, we show under extra conditions that this extension is nilcentral, a notion which generalizes central extensions to extensions by a nilpotent group. |
| title | Quasi-isometric rigidity for a product of lattices |
| topic | Geometric Topology Group Theory |
| url | https://arxiv.org/abs/2512.09782 |