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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 321, Pages 197–204 (Mi znsl413)  
The Hasse conjecture for cyclic extensions

V. V. Ishkhanov, B. B. Lur'e

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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Abstract: In the present paper, embedding conditions for a quadratic extension of an algebraic number field into a cyclic 2-extension are presented. An example of an unsolvable embedding problem for which the compatibility condition is fulfilled is constructed.
Received: 10.12.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 3, Pages 3942–3945
DOI: https://doi.org/10.1007/s10958-006-0212-9
Bibliographic databases:
UDC: 512
Language: Russian
Citation: V. V. Ishkhanov, B. B. Lur'e, “The Hasse conjecture for cyclic extensions”, Problems in the theory of representations of algebras and groups. Part 12, Zap. Nauchn. Sem. POMI, 321, POMI, St. Petersburg, 2005, 197–204; J. Math. Sci. (N. Y.), 136:3 (2006), 3942–3945
Citation in format AMSBIB
\Bibitem{IshLur05}
\by V.~V.~Ishkhanov, B.~B.~Lur'e
\paper The Hasse conjecture for cyclic extensions
\inbook Problems in the theory of representations of algebras and groups. Part~12
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 321
\pages 197--204
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl413}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2138417}
\zmath{https://zbmath.org/?q=an:1075.11067}
\elib{https://elibrary.ru/item.asp?id=9126034}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 3
\pages 3942--3945
\crossref{https://doi.org/10.1007/s10958-006-0212-9}
\elib{https://elibrary.ru/item.asp?id=13511618}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744813830}
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