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Tours de corps de classes et estimations de discriminants. (French) Zbl 0369.12007

MSC:
11R23Iwasawa theory
11R80Totally real fields
References:
[1]Artin, E., Tate, J.: Class Field Theory, Harvard, 1961
[2]Golod, E.S., ?afarevi?, I.R.: Sur les tours de corps de classes (en russe). Isvestia Akad. Nauk, S.S.S.R., Ser. Math.28, 261-272 (1964)
[3]Kisilewski, H.: Some results related to Hilbert’s theorem 94. J. Number Theory2, 199-206 (1970) · Zbl 0216.04701 · doi:10.1016/0022-314X(70)90020-X
[4]Koch, H., Venkov, B.B.: Über denp-Klassenkörperturm eines imaginär-quadratischen Zahlkörpers. Astérisque24-25, 57-67 (1975)
[5]Mennicke J.: Einige endliche Gruppen mit drei Erzeugenden und drei Relationen. Arch. Math.10, 409-418 (1959) · Zbl 0089.01405 · doi:10.1007/BF01240820
[6]Poitou, G.: Minorations de discriminants (d’après A.M. Odlyzko). Sém. Bourbaki (février 1976), exposé 479
[7]Roquette, P.: On class field towers, in J. W. S. Cassels and A. Fröhlich, Algebraic Number Theory, p. 231-249. New York, London: Academic Press 1967
[8]Scholtz, A., Taussky, O.: Die Hauptideale der kubischen Klassenkörper imaginär-quadratischer Zahlkörper. J. reine angew. Math.171, 19-41 (1934)
[9]Serre, J.-P.: Corps locaux, deuxième édition. Paris: Hermann 1968
[10]Serre, J.-P.: Conomologie galoisienne 4ème éd., Lecture Notes in Maths, no 5. Berlin-Heidelberg-New York: Springer 1973