 Weil group (source code)

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= Weil group
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{title2=$W_K$}
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For a non-Archimedean local field $K$, the Weil group is the inverse image of the infinite cyclic subgroup generated by Frobenius under $\operatorname{Gal}(\overline K/K)\to\operatorname{Gal}(\overline k/k)\cong\widehat{\mathbb Z}$. It is dense in the absolute Galois group with its profinite topology.

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