Homological stability for general linear groups over Dedekind domains
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913348069621760 |
|---|---|
| author | Randal-Williams, Oscar |
| author_facet | Randal-Williams, Oscar |
| contents | We prove a new kind of homological stability theorem for automorphism groups of finitely-generated projective modules over Dedekind domains, which takes into account all possible stabilisation maps between these, rather than only stabilisation by the free module of rank 1. We show the same kind of stability holds for Clausen and Jansen's reductive Borel--Serre spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07566 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological stability for general linear groups over Dedekind domains Randal-Williams, Oscar Commutative Algebra Algebraic Topology K-Theory and Homology We prove a new kind of homological stability theorem for automorphism groups of finitely-generated projective modules over Dedekind domains, which takes into account all possible stabilisation maps between these, rather than only stabilisation by the free module of rank 1. We show the same kind of stability holds for Clausen and Jansen's reductive Borel--Serre spaces. |
| title | Homological stability for general linear groups over Dedekind domains |
| topic | Commutative Algebra Algebraic Topology K-Theory and Homology |
| url | https://arxiv.org/abs/2405.07566 |