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

MSC:
11R23 Iwasawa theory
11R80 Totally real fields
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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
[4] Koch, H., Venkov, B.B.: Über denp-Klassenkörperturm eines imaginär-quadratischen Zahlkörpers. Astérisque24-25, 57-67 (1975) · Zbl 0335.12021
[5] Mennicke J.: Einige endliche Gruppen mit drei Erzeugenden und drei Relationen. Arch. Math.10, 409-418 (1959) · Zbl 0089.01405
[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) · Zbl 0009.10202
[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
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