Geodesic
On embedding problem with cyclic kernel for number fields
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 208-214 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that for number fields an embedding problem with cyclic kernel has a solution if 2 completely decomposes in the embeddable field and the consistency condition holds. 
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A. V. Yakovlev. On embedding problem with cyclic kernel for number fields. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 208-214. http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a10/

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

[2] H. Hasse, “Existenz und Mannigfaltigkeit abelscher Algebren mit vorgegebener Galoisgruppe über einem Teilkörper des Grundkörpers. I”, Math. Nachr., 1:1 (1948), 40–61 | DOI | MR | Zbl

[3] D. K. Faddeev, “Ob odnoi gipoteze Khasse”, DAN SSSR, 94 (1954), 1013–1016 | MR

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

[5] A. V. Yakovlev, “Zadacha pogruzheniya polei”, Izv. AN SSSR. Ser. mat., 28:3 (1964), 645–660 | MR | Zbl

[6] A. V. Yakovlev, “Zadacha pogruzheniya dlya chislovykh polei”, Izv. AN SSSR. Ser. mat., 31:2 (1967), 211–224 | MR | Zbl

[7] V. V. Ishkhanov, B. B. Lure, D. K. Faddeev, Zadacha pogruzheniya v teorii Galua, Nauka. Gl. red. fiz.-mat. lit., M., 1990, 269 pp. | MR | Zbl

[8] A. V. Yakovlev, “O zadache pogruzheniya chislovykh polei v sluchae elementarnogo abeleva yadra”, Zap. nauchn. semin. POMI, 375, 2010, 203–208 | MR | Zbl