Homology of iterated semidirect products of free groups
| dc.creator | Cohen, Daniel C. | |
| dc.creator | Suciu, Alexander I. | |
| dc.date | 1995-03-07 | |
| dc.date.accessioned | 2026-07-07T08:13:11Z | |
| dc.date.available | 2026-07-07T08:13:11Z | |
| dc.description | Let $G$ be a group which admits the structure of an iterated semidirect product of finitely generated free groups. We construct a finite, free resolution of the integers over the group ring of $G$. This resolution is used to define representations of groups which act compatibly on $G$, generalizing classical constructions of Magnus, Burau, and Gassner. Our construction also yields algorithms for computing the homology of the Milnor fiber of a fiber-type hyperplane arrangement, and more generally, the homology of the complement of such an arrangement with coefficients in an arbitrary local system. | |
| dc.description | 31 pages. AMSTeX v 2.1 preprint style | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9503002 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9503002 | |
| dc.identifier | Journal of Pure and Applied Algebra 126 (1998), no. 1-3, 87-120 | |
| dc.identifier | doi:10.1016/S0022-4049(96)00153-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132710 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Homology of iterated semidirect products of free groups | |
| dc.type | text |