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If $K$ is a finite extension of $\Q_p$ for some prime $p$, then there is a unique intermediate field $F$ such that $F/\Q_p$ is unramified. Then the extension $K/F$ is totally ramified.

Knowl status:
  • Review status: reviewed
  • Last edited by John Cremona on 2018-05-30 08:51:59
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