A short proof of the Albert-Brauer-Hasse-Noether theorem

Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque no. 209 (1992), p. 215-220

@incollection{AST_1992__209__215_0,
     author = {H\"urlimann, Werner},
     title = {A short proof of the Albert-Brauer-Hasse-Noether theorem},
     booktitle = {Journ\'ees arithm\'etiques de Gen\`eve - 9-13 septembre 1991},
     editor = {Coray D. F. and P\'etermann Y.-F. S},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {209},
     year = {1992},
     pages = {215-220},
     zbl = {0806.11052},
     mrnumber = {1211014},
     language = {en},
     url = {http://www.numdam.org/item/AST_1992__209__215_0}
}

Hürlimann, Werner. A short proof of the Albert-Brauer-Hasse-Noether theorem, in Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 215-220. http://www.numdam.org/item/AST_1992__209__215_0/

References

Artin, E., Tate, J. (1968), Class field theory, Benjamin. | MR 223335 | Zbl 0176.33504

Borel, A. (1969), Linear Algebraic Groups, New York. | MR 251042 | Zbl 0186.33201

Cassels, J. W. S, Fröhlich, A. (1967) (editors), Algebraic Number Theory, Thompson, Washington. | MR 215665 | Zbl 0153.07403

Colliot-Thélène, J.-L., Sansuc, J.-J. (1977), La $R$ -équivalence sur les tores, Ann. Scient. Ecole Norm. Sup. (4), 10, 175-229. | Article | Numdam | MR 450280 | Zbl 0356.14007

Iyanaga, S. (1975), The Theory of Numbers, North-Holland Publ. Co., Amsterdam. | Zbl 0327.12001

Kersten, I. (1990), Brauergruppen von Körpern, Aspekte der Mathematik, D6. | MR 1137014 | Zbl 0709.13001

Lang, S.(1991) (Ed.), Number Theory III, Diophantine Geometry, Encyclopaedia of Mathematical Sciences, vol. 60, Springer. | Article | MR 1112552 | Zbl 0744.14012

Manin, J. (1970), Le groupe de Brauer-Grothendieck en géométrie diophantienne, Actes du Congrès International Math., tome 1, 401-11. | MR 427322 | Zbl 0239.14010

Neukirch, J. (1969), Klassenkörpertheorie, BI-Hochschulskripten, Mannheim. | MR 409416 | Zbl 0199.37502

Ono, T. (1963), On the Tamagawa number of algebraic tori, Ann. Math. 78, 47-73. | Article | MR 156851 | Zbl 0122.39101

Saltman, D. J. (1982), Generic Galois extensions and problems in field theory, Advances in Mathematics 43, 250-83. | Article | MR 648801 | Zbl 0484.12004

Schappacher, N., Scholz, E. (1992), Oswald Teichmüller - Leben und Werk, Jahresbericht der Deutschen Mathematiker-Vereinigung 94, 1-39. | MR 1152479 | Zbl 0751.01013

Serre, J.-P. (1962), Corps locaux, Hermann, Paris (engl, transl. appeared as "Local fields", Graduate Texts in Mathematics 67, Springer). | MR 150130 | Zbl 0423.12017 | Zbl 0137.02601

Shatz, S. (1972), Profinite groups, arithmetic, and geometry, Annals of Mathematical Studies 67, Princeton Univ. Press. | MR 347778 | Zbl 0236.12002