Propagating sharp group homology decompositions
| dc.creator | Grodal, Jesper | |
| dc.creator | Smith, Stephen D. | |
| dc.date | 2004-02-16 | |
| dc.date | 2005-02-16 | |
| dc.date.accessioned | 2026-07-07T07:37:19Z | |
| dc.date.available | 2026-07-07T07:37:19Z | |
| dc.description | A collection C of subgroups of a finite group G can give rise to three different standard formulas for the cohomology of G in terms of either: the subgroups in C; or their centralizers; or their normalizers. We give a short but systematic study of the relationship among such formulas for nine standard collections C of p-subgroups, obtaining some new formulas in the process. To do this, we exhibit some sufficient conditions on the poset C which imply comparison results. | |
| dc.description | 12 pages. Extra counterexamples added. To appear in Advances in Math | |
| dc.identifier | https://arxiv.org/abs/math/0402270 | |
| dc.identifier | http://arxiv.org/abs/math/0402270 | |
| dc.identifier | Advances in Math. 200 (2006), 525--538 | |
| dc.identifier | doi:10.1016/j.aim.2005.01.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120737 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | 20J06 (Primary); 20J05, 55R35, 55P91 (Secondary) | |
| dc.title | Propagating sharp group homology decompositions | |
| dc.type | text |