Geodesic
The embedding problem for number fields
Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 195-208.

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

In this paper we find a new form of the necessary and sufficient condition for solvability of the embedding problem for number fields, and we obtain certain consequences of this condition. 
@article{IM2_1967_1_2_a0,
     author = {A. V. Yakovlev},
     title = {The embedding problem for number fields},
     journal = {Izvestiya. Mathematics },
     pages = {195--208},
     publisher = {mathdoc},
     volume = {1},
     number = {2},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a0/}
}
TY  - JOUR
AU  - A. V. Yakovlev
TI  - The embedding problem for number fields
JO  - Izvestiya. Mathematics 
PY  - 1967
SP  - 195
EP  - 208
VL  - 1
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a0/
LA  - en
ID  - IM2_1967_1_2_a0
ER  - 
%0 Journal Article
%A A. V. Yakovlev
%T The embedding problem for number fields
%J Izvestiya. Mathematics 
%D 1967
%P 195-208
%V 1
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a0/
%G en
%F IM2_1967_1_2_a0
A. V. Yakovlev. The embedding problem for number fields. Izvestiya. Mathematics , Tome 1 (1967) no. 2, pp. 195-208. http://geodesic.mathdoc.fr/item/IM2_1967_1_2_a0/

[1] Yakovlev A. V., “Zadacha pogruzheniya polei”, Dokl. AN SSSR, 150:5 (1963), 1009–1011 | Zbl

[2] Yakovlev A. V., “Zadacha pogruzheniya polei”, Izv. AN SSSR. Ser. matem., 28 (1964), 645–660 | Zbl

[3] Demushkin S. P., Shafarevich I. R., “Vtoroe prepyatstvie dlya zadachi pogruzheniya polei algebraicheskikh chisel”, Izv. AN SSSR. Ser. matem., 26 (1962), 911–924

[4] Demushkin S. P., “Zadacha pogruzheniya dlya polei algebraicheskikh chisel”, Dokl. AN SSSR, 144:1 (1962), 27–28 | Zbl

[5] Faddeev D. K., “K teorii gomologii v gruppakh”, Izv. AN SSSR. Ser. matem., 16 (1952), 17–22 | MR | Zbl

[6] Chevalley C., Class field theory, Nagoya, 1954 | MR

[7] Tate J., “The cohomology groups of algebraic number fields”, Proc. Internat. Congr. Math. Amsterdam, 2 (1954), 66–67

[8] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, Moskva, 1961

[9] Delone B. N., Faddeev D. K., “Issledovaniya po geometrii teorii Galua”, Matem. sb., 15(57):2 (1944), 243–284

[10] Hasse H., “Existenz und Mannigfaltigkeit Abelscher Algebren mit vörgegebener Galoisgruppe über einem Teikörper des Grundkörpers”, Math. Nachr., 1 (1948), 40–61, 213–217 | DOI | MR | Zbl

[11] Kochendörffer R., “Zwei Reduktionszatse zum Einbettungsproblem für abelschen Algebren”, Math. Nachr., 10 (1953), 75–84 | DOI | MR | Zbl