The BP<n> cohomology of elementary abelian groups
| dc.creator | Strickland, Neil P. | |
| dc.date | 2000-11-17 | |
| dc.date.accessioned | 2026-07-07T04:38:38Z | |
| dc.date.available | 2026-07-07T04:38:38Z | |
| dc.description | In this paper we study E^*BV_k, where E=BP<m,n> is a cohomology theory with coefficient ring F_p[v_m,...,v_n] (if m>0) or Z_(p)[v_1,...,v_n] (if m=0). We use ideas from the theory of multiple level structures, developed in earlier work of the author with John Greenlees. Our results apply when k is less than or equal to w=n+1-m. If k<w we find that E^*BV_k has no v_m-torsion. When k=w, we show that the v_m-torsion is annihilated by the ideal I_{n+1}=(v_m,...,v_n), and that it is a free module on one generator over the ring F_p[[x_0,...,x_{w-1}]]. We give three very different formulae for this generator; it is not at all obvious that these give the same element, and we only have a rather indirect proof of this. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0011120 | |
| dc.identifier | http://arxiv.org/abs/math/0011120 | |
| dc.identifier | J. London Math. Soc. 61 (2000) 93-109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60361 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 20J06; 55N20; 14L05 | |
| dc.title | The BP<n> cohomology of elementary abelian groups | |
| dc.type | text |