Rings of integers of type $K(π,1)$

Alexander Schmidt

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arXiv · 0705.3372

Rings of integers of type $K(π,1)$

Alexander Schmidt

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Abstract

We 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.

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BibTeX RIS

Alexander Schmidt. 2007-11-14. Rings of integers of type $K(π,1)$. https://arxiv.org/abs/0705.3372

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