Rings of integers of type $K(π,1)$

dc.creatorSchmidt, Alexander
dc.date2007-05-23
dc.date2007-11-14
dc.date.accessioned2026-07-07T08:42:29Z
dc.date.available2026-07-07T08:42:29Z
dc.descriptionWe investigate the Galois group $G_S(p)$ of the maximal $p$-extension unramified outside a finite $S$ of primes of a number field in the (tame) case, when no prime dividing $p$ is in $S$. We show that the cohomology of $G_S(p)$ is 'often' isomorphic to the etale cohomology of the scheme $\Spec(Ø_k \sm S)$, in particular, $G_S(p)$ is of cohomological dimension~2 then.
dc.descriptionfinal version, to appear in documenta mathematica
dc.identifierhttps://arxiv.org/abs/0705.3372
dc.identifierhttp://arxiv.org/abs/0705.3372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141976
dc.subjectNumber Theory
dc.subject11R34 ; 12G10
dc.titleRings of integers of type $K(π,1)$
dc.typetext

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