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Are absolute Galois groups compact topological groups

Let $T$ be a finite set of primes and let $K$ be the maximal extension of $\mathbf{Q}$ unramified outside $T$. We have three Galois groups: $G_{\mathbf{Q}} = ...
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Corestriction in Galois cohomology (Serre, Corps Locaux)

I have a question about Chapter XIV of "Corps Locaux" by Serre. Sketch of the situation: let $K$ be a field with separable closure $\overline{K}$. Let $\Gamma_K$ be the absolute Galois group. The ...