On the K(π,1)-property for rings of integers in the mixed case
| dc.creator | Schmidt, Alexander | |
| dc.date | 2008-01-14 | |
| dc.date.accessioned | 2026-07-07T08:54:21Z | |
| dc.date.available | 2026-07-07T08:54:21Z | |
| dc.description | We investigate the Galois group G_S(p) of the maximal p-extension unramified outside a finite set S of primes of a number field in the (mixed) case, when there are primes dividing p inside and outside S. We show that the cohomology of G_S(p) is "often" isomorphic to the etale cohomology of the scheme Spec(O_k S), in particular, G_S(p) is of cohomological dimension 2 then. We deduce this from the results in our previous paper "Rings of integers of type K(π,1)" (arXiv:0705.3372), which mainly dealt with the tame case. | |
| dc.identifier | https://arxiv.org/abs/0801.2103 | |
| dc.identifier | http://arxiv.org/abs/0801.2103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145899 | |
| dc.subject | Number Theory | |
| dc.subject | 11R34 ; 12G10 | |
| dc.title | On the K(π,1)-property for rings of integers in the mixed case | |
| dc.type | text |