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Let $K$ be a finite extension of $\Q_p$ for some prime $p$, and $K^{un}$ its unramified subfield. Then the tame degree of $K/\Q_p$ is the integer $t$ where $[K:K^{un}]=p^m t$ with $p\nmid t$.

The Galois tame degree of $K$ is the tame degree of its Galois closure.

Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2021-05-14 21:28:17
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