Homology of profinite groups, Schur multiplirrs, and class field theory
Izvestiya. Mathematics , Tome 3 (1969) no. 6, pp. 1149-1181.

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A generalization of class field theory is constructed for the case of an infinite Galois group. The results are used to study extensions with specified branch points.
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L. V. Kuz'min. Homology of profinite groups, Schur multiplirrs, and class field theory. Izvestiya. Mathematics , Tome 3 (1969) no. 6, pp. 1149-1181. http://geodesic.mathdoc.fr/item/IM2_1969_3_6_a1/

[1] Artin E., Tate J., Class field theory, Princeton, 1961

[2] Kartan A., Eilenberg S., Gomologicheskaya algebra, IL, M., 1960

[3] Maklein S., Gomologiya, Mir, M., 1966

[4] Serr Zh.-P., Kogomologii Galua, Mir, M., 1968 | MR

[5] Serre J.-P., Corps locaux, Hermann, Paris, 1963 | MR

[6] Weiss A., “Deflation map”, J. Math. and Mech., 8 (1959), 309–329 | MR | Zbl

[7] Poitou G., “Remarques sur I'homologie des groups profinis”, Les Tendances Géom. en Algèbre et Théorie des Nombres, Editions du Centre National de la Recherche Scientifique, Paris, 1966, 201–213 | MR

[8] Poitou G., Cohomologie Galoisienne des modules finis, Dunod, Paris, 1967 | MR | Zbl

[9] Brumer A., “Pseudocompact Algebras, Groups profinit and class formation”, J. Algebra, 4:3 (1966), 442–470 | DOI | MR | Zbl

[10] Brumer A., “Galois groups of extensions of algebraic number fields with given ramification”, Mech. Math. J., 13:1 (1966), 33–40 | DOI | MR | Zbl

[11] Schur J., “Über die Darstellungen der endlichen Gruppen durch gebrachene lineare Substitutionen”, J. reine und angew. Math., 127 (1904), 20–50 | Zbl