Homology of GL_n over algebraically closed fields
| dc.creator | Mirzaii, Behrooz | |
| dc.date | 2007-03-12 | |
| dc.date.accessioned | 2026-07-07T09:33:15Z | |
| dc.date.available | 2026-07-07T09:33:15Z | |
| dc.description | In this paper we define higher pre-Bloch groups p_n(F) of a field F. When our base field is algebraically closed we study its connection to the homology of the general linear groups with finite coefficient Z/l where l is a positive integer. As a result of our investigation we give a necessary and sufficient condition for the map H_n(GL_{n-1}(F), Z/l) --> H_n(GL_{n}(F), Z/l)$ to be bijective. We prove that this map is bijective for n < 5. We also demonstrate that the divisibility of p_n(C) is equivalent to the validity of the Friedlander-Milnor Isomorphism Conjecture for (n+1)-th homology of GL_n(C). | |
| dc.description | 19 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0703337 | |
| dc.identifier | http://arxiv.org/abs/math/0703337 | |
| dc.identifier | J. London Math. Soc. 76 (2007), 605-621 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159068 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19D55;19D45 | |
| dc.title | Homology of GL_n over algebraically closed fields | |
| dc.type | text |