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.

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

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**History:**(expand/hide all)

- 2021-05-14 21:28:17 by Andrew Sutherland (Reviewed)
- 2021-05-14 16:54:33 by John Jones (Reviewed)
- 2021-05-14 16:33:09 by Jakob de Raaij
- 2018-07-04 23:39:51 by John Jones (Reviewed)

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