Cohomological dimension and Schreier's formula in Galois cohomology
| dc.creator | Labute, John | |
| dc.creator | Lemire, Nicole | |
| dc.creator | Minac, Jan | |
| dc.creator | Swallow, John | |
| dc.date | 2004-11-19 | |
| dc.date | 2005-03-02 | |
| dc.date.accessioned | 2026-07-07T09:46:43Z | |
| dc.date.available | 2026-07-07T09:46:43Z | |
| dc.description | Let p be a prime and F a field containing a primitive pth root of unity. Then for n in N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group of F is <=n if and only if the corestriction maps H^n(H,Fp) -> H^n(G,Fp) are surjective for all open subgroups H of index p. Using this result we derive a surprising generalization to dim_Fp H^n(H,Fp) of Schreier's formula for dim_Fp H^1(H,Fp). | |
| dc.description | 7 pages; removed hypothesis on perfect fields, strengthened main theorem | |
| dc.identifier | https://arxiv.org/abs/math/0411446 | |
| dc.identifier | http://arxiv.org/abs/math/0411446 | |
| dc.identifier | Canad. Math. Bull. 50 (2007), no. 4, 588--593 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163627 | |
| dc.subject | Number Theory | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 12G05; 12G10 | |
| dc.title | Cohomological dimension and Schreier's formula in Galois cohomology | |
| dc.type | text |