Completed representation ring spectra of nilpotent groups
| dc.creator | Lawson, Tyler | |
| dc.date | 2009-02-27 | |
| dc.date.accessioned | 2026-07-07T12:47:37Z | |
| dc.date.available | 2026-07-07T12:47:37Z | |
| dc.description | In this paper, we examine the `derived completion' of the representation ring of a pro-p group G_p^ with respect to an augmentation ideal. This completion is no longer a ring: it is a spectrum with the structure of a module spectrum over the Eilenberg-MacLane spectrum HZ, and can have higher homotopy information. In order to explain the origin of some of these higher homotopy classes, we define a deformation representation ring functor R[-] from groups to ring spectra, and show that the map R[G_p^] --> R[G] becomes an equivalence after completion when G is finitely generated nilpotent. As an application, we compute the derived completion of the representation ring of the simplest nontrivial case, the p-adic Heisenberg group. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 26 February 2006 | |
| dc.identifier | https://arxiv.org/abs/0902.4867 | |
| dc.identifier | http://arxiv.org/abs/0902.4867 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 253-285 | |
| dc.identifier | doi:10.2140/agt.2006.6.253 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221782 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 55P60, 19A22, 55P43 | |
| dc.title | Completed representation ring spectra of nilpotent groups | |
| dc.type | text |