Geodesic
On the semidirect imbedding problem with nilpotent kernel
Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 1-23.

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

In this paper it is shown that the semidirect imbedding problem with nilpotent kernel has a solution in the field sense for number fields. Bibliography: 11 titles. 
@article{IM2_1976_10_1_a0,
     author = {V. V. Ishkhanov},
     title = {On the semidirect imbedding problem with nilpotent kernel},
     journal = {Izvestiya. Mathematics },
     pages = {1--23},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1976_10_1_a0/}
}
TY  - JOUR
AU  - V. V. Ishkhanov
TI  - On the semidirect imbedding problem with nilpotent kernel
JO  - Izvestiya. Mathematics 
PY  - 1976
SP  - 1
EP  - 23
VL  - 10
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1976_10_1_a0/
LA  - en
ID  - IM2_1976_10_1_a0
ER  - 
%0 Journal Article
%A V. V. Ishkhanov
%T On the semidirect imbedding problem with nilpotent kernel
%J Izvestiya. Mathematics 
%D 1976
%P 1-23
%V 10
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1976_10_1_a0/
%G en
%F IM2_1976_10_1_a0
V. V. Ishkhanov. On the semidirect imbedding problem with nilpotent kernel. Izvestiya. Mathematics , Tome 10 (1976) no. 1, pp. 1-23. http://geodesic.mathdoc.fr/item/IM2_1976_10_1_a0/

[1] Shafarevich I. R., “O postroenii polei s zadannoi gruppoi Galua poryadka $l^\alpha$”, Izv. AN SSSR. Ser. matem., 18 (1954), 261–296 | Zbl

[2] Shafarevich I. R., “Ob odnoi teoreme suschestvovaniya v teorii algebraicheskikh chisel”, Izv. AN SSSR. Ser. matem., 18 (1954), 327–334 | Zbl

[3] Shafarevich I. R., “O zadache pogruzheniya polei”, Izv. AN SSSR. Ser. matem., 18 (1954), 389–418 | Zbl

[4] Shafarevich I. R., “Postroenie polei algebraicheskikh chisel s zadannoi razreshimoi gruppoi Galua”, Izv. AN SSSR. Ser. matem., 18 (1954), 525–578 | Zbl

[5] Kholl M., Teoriya grupp, IL, M., 1962

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

[7] Artin E., Tate J., Class field theory, 1961

[8] Cepp Zh.-P., Kogomologii Galua, Mir, M., 1968 | MR

[9] Koch H, “Über die Faktorgruppen einer absteigenden Zentralreiche”, Math. Nachr., 22:3–4 (1960), 159–161 | DOI | MR | Zbl

[10] Uchida K., “On Tate's duality theorems in Galois cohomology”, Tôhoku Math. J., sec. ser., 21:1 (1969), 92–101 | MR | Zbl

[11] Ore O., “Contributions to the theory of groups of finite order”, Duke Math. J., 5:2 (1939), 431–460 | DOI | MR | Zbl