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Determination of the number of isomorphism classes of extensions of a $\kp$-adic field
extensions $\kp$-adic field
2010/11/8
We deduce a formula enumerating the isomorphism classes of extensions of a $\kp$-adic field $K$ with given ramification $e$ and inertia $f$. The formula follows from a simple group-theoretic lemma, pl...