Geodesic
The Hasse norm principle for algebraic number fields
Izvestiya. Mathematics , Tome 29 (1987) no. 2, pp. 299-322.

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The Hasse norm principle is studied for arbitrary extensions of algebraic number fields on the basis of an interpretation of the obstruction to the Hasse principle in terms of local and global Galois groups. One of the central results is the solution of Bartels' problem on the Hasse principle for subfields of finite-dimensional division rings. Bibliography: 24 titles. 
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Yu. A. Drakokhrust; V. P. Platonov. The Hasse norm principle for algebraic number fields. Izvestiya. Mathematics , Tome 29 (1987) no. 2, pp. 299-322. http://geodesic.mathdoc.fr/item/IM2_1987_29_2_a2/

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