Tamely ramified extension
= Tamely ramified extension
= Tamely ramified
{synonym}
= Tame ramification
{synonym}
A finite extension of local fields is tamely ramified when its residue-field extension is separable and its <ramification index> is coprime to the residue characteristic. For a finite Galois extension this is equivalent to trivial <wild inertia group> $G_1$.