Injectivity theorems and algebraic closures of groups with coefficients
| dc.creator | Cha, Jae Choon | |
| dc.date | 2006-09-14 | |
| dc.date | 2007-05-11 | |
| dc.date.accessioned | 2026-07-07T08:00:47Z | |
| dc.date.available | 2026-07-07T08:00:47Z | |
| dc.description | Recently, Cochran and Harvey defined torsion-free derived series of groups and proved an injectivity theorem on the associated torsion-free quotients. We show that there is a universal construction which extends such an injectivity theorem to an isomorphism theorem. Our result relates injectivity theorems to a certain homology localization of groups. In order to give a concrete combinatorial description and existence proof of the necessary homology localization, we introduce a new version of algebraic closures of groups with coefficients by considering a certain type of equations. | |
| dc.description | 28 pages; to appear in Proceedings of the London Mathematical Society | |
| dc.identifier | https://arxiv.org/abs/math/0609409 | |
| dc.identifier | http://arxiv.org/abs/math/0609409 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128757 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | Primary 20J05, 57M07, Secondary 55P60, 57M27 | |
| dc.title | Injectivity theorems and algebraic closures of groups with coefficients | |
| dc.type | text |