On the problem of field embedding
Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 137-140.

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A cohomological interpretation of solvability conditions for the problem of field embedding is given. Embedding conditions are formulated in these terms in cases when there are additional restrictions on the constructed field (e.g., fixation of the branching points of the field in the number case).
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     author = {M. I. Bashmakov},
     title = {On the problem of field embedding},
     journal = {Matemati\v{c}eskie zametki},
     pages = {137--140},
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     number = {2},
     year = {1968},
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M. I. Bashmakov. On the problem of field embedding. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 137-140. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a2/