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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1973 Volume 90(132), Number 2, Pages 231–234 (Mi sm3010)

This article is cited in 3 papers

On a problem concerning the Shafarevich map

I. V. Cherednik


Abstract: 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.

UDC: 511.61+512.4+513.836

MSC: Primary 12B10, 12B15; Secondary 14L05

Received: 29.06.1972


 English version:
Mathematics of the USSR-Sbornik, 1973, 19:2, 227–230

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