Classifying spectra of saturated fusion systems
| dc.creator | Ragnarsson, Kari | |
| dc.date | 2005-02-04 | |
| dc.date | 2009-02-27 | |
| dc.date.accessioned | 2026-07-07T12:47:15Z | |
| dc.date.available | 2026-07-07T12:47:15Z | |
| dc.description | The assignment of classifying spectra to saturated fusion systems was suggested by Linckelmann and Webb and has been carried out by Broto, Levi and Oliver. A more rigid (but equivalent) construction of the classifying spectra is given in this paper. It is shown that the assignment is functorial for fusion-preserving homomorphisms in a way which extends the assignment of stable p-completed classifying spaces to finite groups, and admits a transfer theory analogous to that for finite groups. Furthermore the group of homotopy classes of maps between classifying spectra is described, and in particular it is shown that a fusion system can be reconstructed from its classifying spectrum regarded as an object under the stable classifying space of the underlying p-group. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 26 February 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0502092 | |
| dc.identifier | http://arxiv.org/abs/math/0502092 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 195-252 | |
| dc.identifier | doi:10.2140/agt.2006.6.195 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221654 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 55R35, 20D20, 55P42 | |
| dc.title | Classifying spectra of saturated fusion systems | |
| dc.type | text |