tamely ramified extension

《Algebraic Number Theory》 · 第 154 页 · Chapter II，Section 7「Unramified and Tamely Ramified Extensions」，Definition 7.6

An algebraic extension $L/K$ is called tamely ramified if the extension $\lambda/\kappa$ of the residue class fields is separable and one has $([L:T],p)=1$. In the infinite case this latter condition is taken to mean that the degree of each finite subextension of $L/T$ is prime to $p$.