On a problem concerning the Shafarevich map
Sbornik. Mathematics, Tome 19 (1973) no. 2, pp. 227-230
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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.
@article{SM_1973_19_2_a6,
author = {I. V. Cherednik},
title = {On a~problem concerning the {Shafarevich} map},
journal = {Sbornik. Mathematics},
pages = {227--230},
year = {1973},
volume = {19},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1973_19_2_a6/}
}
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/
[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