Modular invariants detecting the cohomology of BF_4 at the prime 3
| dc.creator | Broto, Carles | |
| dc.date | 2009-03-27 | |
| dc.date.accessioned | 2026-07-07T12:57:32Z | |
| dc.date.available | 2026-07-07T12:57:32Z | |
| dc.description | Attributed to J F Adams is the conjecture that, at odd primes, the mod-p cohomology ring of the classifying space of a connected compact Lie group is detected by its elementary abelian p-subgroups. In this note we rely on Toda's calculation of H^*(BF_4;F_3) in order to show that the conjecture holds in case of the exceptional Lie group F_4. To this aim we use invariant theory in order to identify parts of H^*(BF_4;F_3) with invariant subrings in the cohomology of elementary abelian 3-subgroups of F_4. These subgroups themselves are identified via the Steenrod algebra action on H^*(BF_4;F_3). | |
| dc.description | This is the version published by Geometry & Topology Monographs on 14 November 2007 | |
| dc.identifier | https://arxiv.org/abs/0903.4865 | |
| dc.identifier | http://arxiv.org/abs/0903.4865 | |
| dc.identifier | Geom. Topol. Monogr. 11 (2007) 1-16 | |
| dc.identifier | doi:10.2140/gtm.2007.11.1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224967 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55R40, 13A50, 55S10 | |
| dc.title | Modular invariants detecting the cohomology of BF_4 at the prime 3 | |
| dc.type | text |