Geodesic
On a problem concerning the Shafarevich map
Sbornik. Mathematics, Tome 19 (1973) no. 2, pp. 227-230 
I. V. Cherednik. On a problem concerning the Shafarevich map. Sbornik. Mathematics, Tome 19 (1973) no. 2, pp. 227-230. http://geodesic.mathdoc.fr/item/SM_1973_19_2_a6/
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     title = {On a~problem concerning the {Shafarevich} map},
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $L/K$ be a Galois extension of fields which are extensions of finite degree over the field $Q_p$, and let $L_\mathrm{ab}$ be the maximal Abelian extension of $L$. This article constructs the Shafarevich map from the Galois group of the extension $L_\mathrm{ab}/K$ to a certain concrete skew field arising in the theory of formal groups. Bibliography: 5 titles.

[1] I. R. Shafarevich, “O gruppakh Galua $P$-adicheskikh polei”, DAN SSSR, 53 (1946), 15–16 | MR | Zbl

[2] Dzh. Kassels, A. Frelikh, Algebraicheskaya teoriya chisel, izd-vo «Mir», Moskva, 1969

[3] Dzh. Teit, “$p$-delimye gruppy”, Matematika, 13:2 (1969), 3–25 | MR

[4] A. Fröhlich, Lectures on formal groups, preprint, King's College, London, 1966

[5] J.-P. Serre, Corps locaux, Herman, Paris, 1962 | MR | Zbl