Geodesic
Finite galois modules
Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 125-134

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A single general formula is given for the weak approximation in algebraic tori over global fields. We calculate the first cohomology group for the torus of an embedding problem of fields with Abelian kernel, the coefficients being the Picard group of a nonsingular projective model of the torus. The Tamagawa numbers of a certain class of reductive groups are calculated. 
@article{ZNSL_1979_86_a11,
     author = {A. F. Kryuchkov},
     title = {Finite galois modules},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {125--134},
     publisher = {mathdoc},
     volume = {86},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a11/}
}
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A. F. Kryuchkov. Finite galois modules. Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 125-134. http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a11/