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Zap. Nauchn. Sem. POMI, 2012, Volume 400, Pages 208–214 (Mi znsl5619)  

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.

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

Bibliographic databases:

UDC: 512.623.32
Received: 28.02.2012

Citation: A. V. Yakovlev, “On embedding problem with cyclic kernel for number fields”, Problems in the theory of representations of algebras and groups. Part 23, Zap. Nauchn. Sem. POMI, 400, POMI, St. Petersburg, 2012, 208–214; J. Math. Sci. (N. Y.), 192:2 (2013), 243–246

Citation in format AMSBIB
\Bibitem{Yak12}
\by A.~V.~Yakovlev
\paper On embedding problem with cyclic kernel for number fields
\inbook Problems in the theory of representations of algebras and groups. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 400
\pages 208--214
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5619}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3029573}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 2
\pages 243--246
\crossref{https://doi.org/10.1007/s10958-013-1389-3}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884990207}


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