Geodesic
Ramification Groups of Abelian Local Field Extensions
Canadian journal of mathematics, Tome 23 (1971) no. 2, pp. 271-281

Voir la notice de l'article provenant de la source Cambridge University Press

Let k be a local field; that is, a complete discrete-valued field having a perfect residue class field. If L is a finite Galois extension of k then L is also a local field. Let G denote the Galois group GL|k. Then the nth ramification group Gn is defined by where OL, denotes the ring of integers of L, and P L is the prime ideal of OL. The ramification groups form a descending chain of invariant subgroups of G: 1 In this paper, an attempt is made to characterize (in terms of the arithmetic of k) the ramification filters (1) obtained from abelian extensions L\k. 
Marshall, Murray A. Ramification Groups of Abelian Local Field Extensions. Canadian journal of mathematics, Tome 23 (1971) no. 2, pp. 271-281. doi: 10.4153/CJM-1971-027-9
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