The Galois group of the algebraic closure of a local field
Izvestiya. Mathematics , Tome 2 (1968) no. 6, pp. 1231-1269.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we describe the structure of the Galois group of the algebraic closure of finite extensions of the field of $p$-adic numbers for $p\ne2$.
@article{IM2_1968_2_6_a4,
     author = {A. V. Yakovlev},
     title = {The {Galois} group of the algebraic closure of a local field},
     journal = {Izvestiya. Mathematics },
     pages = {1231--1269},
     publisher = {mathdoc},
     volume = {2},
     number = {6},
     year = {1968},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_6_a4/}
}
TY  - JOUR
AU  - A. V. Yakovlev
TI  - The Galois group of the algebraic closure of a local field
JO  - Izvestiya. Mathematics 
PY  - 1968
SP  - 1231
EP  - 1269
VL  - 2
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1968_2_6_a4/
LA  - en
ID  - IM2_1968_2_6_a4
ER  - 
%0 Journal Article
%A A. V. Yakovlev
%T The Galois group of the algebraic closure of a local field
%J Izvestiya. Mathematics 
%D 1968
%P 1231-1269
%V 2
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1968_2_6_a4/
%G en
%F IM2_1968_2_6_a4
A. V. Yakovlev. The Galois group of the algebraic closure of a local field. Izvestiya. Mathematics , Tome 2 (1968) no. 6, pp. 1231-1269. http://geodesic.mathdoc.fr/item/IM2_1968_2_6_a4/

[1] Iwasawa K., “On Galois groups oG lokal fields”, Trans. Amer. Math. Soc., 80:2 (1955), 448–469 | DOI | MR | Zbl

[2] Koch H., “Über Darstellungsräume und die Struktur der multiplikativen Gruppen eines $p$-adischen Zahlkörpers”, Math. Nachr., 26:1–4 (1963), 67–100 | DOI | MR | Zbl

[3] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, M., 1960

[4] Stinrod N., Eilenberg S., Osnovaniya algebraicheskoi topologii, Fizmatgiz, M., 1958

[5] Demushkin S. P., Shafarevich I. R., “Zadacha pogruzheniya dlya lokalnykh polei”, Izv. AN SSSR. Ser. matem., 23 (1959), 823–840 | Zbl

[6] Demushkin S. P., “Gruppa Galua maksimalnogo $p$-rasshireniya lokalnogo polya”, Izv AN SSSR. Ser. matem., 25 (1961), 329–346 | Zbl

[7] Kochendörffer R., “Zwei Reduklionszätze zum Einbettungsproblem für Abelschen algebren”, Math. Nachr., 10 (1953), 75–84 | DOI | MR | Zbl

[8] Koch H., “Über Galoissche Gruppen von $\mathfrak p$-adischen Zahlkörpern”, Math. Nachr., 29 (1965), 77–111 | DOI | MR | Zbl