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• W2064498662 abstract "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, plus the Krasner formula and an elementary class field theory computation. It shows that the number of classes only depends on the ramification and inertia of the extensions $K/Q_p$, and $K(zeta_{p^m})/K$ obtained adding the $p^m$-th roots of 1, for all $p^m$ dividing $e$." @default.
• W2064498662 created "2016-06-24" @default.
• W2064498662 creator A5000976585 @default.
• W2064498662 date "2010-11-01" @default.
• W2064498662 modified "2023-09-27" @default.
• W2064498662 title "Determination of the number of isomorphism classes of extensions of a $kp$-adic field" @default.
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