the ramification groups are a filtration of the Galois group of a local field extension, which gives detailed information on the ramification phenomena...

Look up ramification in Wiktionary, the free dictionary. Ramification may refer to: Ramification (mathematics), a geometric term used for 'branching out'...

In geometry, ramification is 'branching out', in the way that the square root function, for complex numbers, can be seen to have two branches differing...

v_{L}} . Let L / K {\displaystyle L/K} have Galois group G and define the s-th ramification group of L / K {\displaystyle L/K} for any real s ≥ −1 by...

(first) ramification group. If K is a local or global field, the theory of class formations attaches to K its Weil group WK, a continuous group homomorphism...

detailed analysis can be carried out with the aid of tools such as ramification groups. In this article, a local field is non-archimedean and has finite...

extension of local or global fields provides a quantitative measure of the ramification in the extension. The definition of the conductor is related to the Artin...

Hensel's lemma, Galois extensions of local fields, ramification groups filtrations of Galois groups of local fields, the behavior of the norm map on local...

restriction of w to K is v. The set of all such extensions is studied in the ramification theory of valuations. Let L/K be a finite extension and let w be an extension...

with a symmetry group of transformations G {\displaystyle G} . Since the symmetry group has stabilizers at the points of the ramification locus, branched...