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Sur les \(Z_2\)-extensions d’un corps quadratique imaginaire. (French) Zbl 0501.12016

MSC:
11R37 Class field theory
11R11 Quadratic extensions
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References:
[1] E. ARTIN and J. TATE, Class field theory, W. A. Benjamin, New-York (1967). · Zbl 0176.33504
[2] J. E. CARROLL, On determining the quadratic subfields of Z2-extensions of complex quadratic fields, Compositio Mathematica, 30 (1975), 259-271. · Zbl 0314.12005
[3] J. E. CARROLL and H. KISILEVSKY, Initial layers of zl-extensions of complex quadratic fields, Compositio Mathematica, 32 (1976), 157-168. · Zbl 0357.12003
[4] A. CHARIFI, Groupes de torsion attachés aux extensions abéliennes p-ramifiées maximales (cas des corps totalement réels et des corps quadratiques imaginaires), thèse de 3e cycle, Besançon (1982).
[5] G. GRAS, Logarithme p-adique et groupes de Galois, Journal de Crelle, 343 (1983), 64-80. · Zbl 0501.12015
[6] G. GRAS, Groupe de Galois de la p-extension abélienne p-ramifiée maximale d’un corps de nombres, Journal de Crelle, 333 (1982), 86-132. · Zbl 0477.12009
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