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Formulations de la conjecture de Leopoldt et étude d’une condition suffisante. (French) Zbl 0396.12008

MSC:
11R32 Galois theory
11R52 Quaternion and other division algebras: arithmetic, zeta functions
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[1] E. Artin etJ. Tate, ”Class-field theory” Benjamin 1967. · Zbl 0176.33504
[2] F. Bertrandias etJ. J. Payan, ”{\(\Gamma\)}-extensions et invariants cyclotomiques”. Annales Scient. Ec. Norm. Sup. 4e série t. 5 (1972) 517 à 543. · Zbl 0246.12005
[3] A. Brumer, ”On the units of algebraic number fields”. Mathematika14 (1967) 121–124. · Zbl 0171.01105
[4] J. W. S. Cassels etA. Fröhlich, ”Algebraic Number Theory”. Academic Press (1967).
[5] R. Greenberg, ”On a certainl-Adic Representation”. Inventiones math.21 (1973) 117–124. · Zbl 0268.12004
[6] K. Iwasawa, ”On \(\mathbb{Z}\)i-extensions of algebraic fields”. Annals of Math. Vol.98 no 2 sept. 73, 246–326. · Zbl 0285.12008
[7] L. V. Küzmin, ”The Tate Module for algebraic Number Fields”. Izv. Akad. Nauk. SSR. ser Mat. Tom.36 (1972) no 2 et Math. USSR Izvestija, Vol. 6 (1972) no 2. · Zbl 0231.12013
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