Alternative stable homotopy classification of p-completed classifying spaces
| dc.creator | Ragnarsson, Kari | |
| dc.date | 2005-02-28 | |
| dc.date | 2005-09-12 | |
| dc.date.accessioned | 2026-07-07T05:17:32Z | |
| dc.date.available | 2026-07-07T05:17:32Z | |
| dc.description | We give an alternative to the stable classification of p-completed homotopy types of classifying spaces of finite groups offered by Martino-Priddy. For a finite group G with Sylow subgroup S, we regard the stable p-completed classifying space of G as an object under the stable p-completed classifying space of S via the canonical inclusion map. Thus we get a classification in terms of induced fusion systems. Applying Oliver's solution to the Martino-Priddy conjecture, we obtain the surprising result that the unstable p-completed homotopy type of BG is determined by the stable p-completed inclusion of BS in BG, but not by the stable p-completed homotopy type of BG. | |
| dc.description | 10 pages. Clarified text after Definition 1.1 and altered discussion in Section 4 following suggestions from referee. To appear in Topology | |
| dc.identifier | https://arxiv.org/abs/math/0502577 | |
| dc.identifier | http://arxiv.org/abs/math/0502577 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74341 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 55R35 (Primary) 20J06, 55P42 (Secondary) | |
| dc.title | Alternative stable homotopy classification of p-completed classifying spaces | |
| dc.type | text |