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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2012 Volume 400, Pages 208–214 (Mi znsl5619)
This article is cited in 1 paper

On embedding problem with cyclic kernel for number fields

A. V. Yakovlev

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: 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.

Key words and phrases: Galois extension, embedding problem.

UDC: 512.623.32

Received: 28.02.2012


 English version: Journal of Mathematical Sciences (New York), 2013, 192:2, 243–246

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© Steklov Math. Inst. of RAS, 2025