Tame ramification is ramification for which the residue characteristic does not divide
the ramification index. Thus a finite
extension 
of local fields with residue
characteristic 
is said to be tamely ramified if 
does not divide its ramification
index. If 
is a Galois extension, this is equivalent
to the wild inertia subgroup 
being the trivial group.
Tame Ramification
See also
Ramification, Ramification Index, Wild Inertia Subgroup, Wild RamificationExplore with Wolfram|Alpha
References
Serre, J.-P. Local Fields. New York: Springer-Verlag, 1979.Cite this as:
Weisstein, Eric W. "Tame Ramification." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/TameRamification.html