Geodesic
The Hasse conjecture for cyclic extensions
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 197-204 
V. V. Ishkhanov; B. B. Lur'e. The Hasse conjecture for cyclic extensions. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 197-204. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a8/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

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