The third homology of the special linear group of a field
| dc.creator | Hutchinson, Kevin | |
| dc.creator | Tao, Liqun | |
| dc.date | 2008-08-05 | |
| dc.date.accessioned | 2026-07-07T09:54:45Z | |
| dc.date.available | 2026-07-07T09:54:45Z | |
| dc.description | We prove that for any infinite field homology stability for the third integral homology of the special linear groups $SL(n,F)$ begins at $n=3$. When $n=2$ the cokernel of the map from the third homology of $SL(2,F)$ to the third homology of $SL(3,F)$ is naturally isomorphic to the square of Milnor $K_3$. We discuss applications to the indecomposable $K_3$ of the field and to Milnor-Witt K-theory. | |
| dc.description | PDFLatex, 21 pages | |
| dc.identifier | https://arxiv.org/abs/0808.0625 | |
| dc.identifier | http://arxiv.org/abs/0808.0625 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166435 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 20G10 | |
| dc.title | The third homology of the special linear group of a field | |
| dc.type | text |