Editing Ramification (mathematics) (section)

===In local fields===
{{main|Ramification of local fields}}

The more detailed analysis of ramification in number fields can be carried out using extensions of the [[p-adic number]]s, because it is a ''local'' question. In that case a quantitative measure of ramification is defined for [[Galois extension]]s, basically by asking how far the [[Galois group]] moves field elements with respect to the metric. A sequence of [[ramification group]]s is defined, reifying (amongst other things) ''wild'' (non-tame) ramification. This goes beyond the geometric analogue.