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Initial layers of $$\mathbb Z_l$$-extensions of complex quadratic fields. (English) Zbl 0357.12003

##### MSC:
 11R04 Algebraic numbers; rings of algebraic integers 11R32 Galois theory
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##### References:
 [1] Candiotti , ALAN: Thesis , Harvard University, 1973. [2] Carroll, J.E. : On Determining the Quadratic Subfields of Z 2-extensions of Complex Quadratic Fields . Compositio Mathematica,30 (1975) 259-271. · Zbl 0314.12005 [3] Coates, John : On K2 and some Classical Conjectures in Algebraic Number Theory . Annals of Math. 95 (1972) 99-116. · Zbl 0245.12005 [4] Greenberg, R. : On the Iwasawa Invariants of Totally Real Number Fields (to appear) . · Zbl 0334.12013 [5] Hasse, H. : Zahlentheorie , Akademie-Verlag, 1949. · Zbl 0035.02002 [6] Iwasawa, K. : On Zl-extensions of Algebraic Number Fields . Annals of Math., series 2 (1973) (98) 187-326. · Zbl 0285.12008 [7] Iwasawa, K. : A Note on the Class Numbers of Algebraic Number Fields . Abh. Math. Sem. Univ. Hamburg, 20 (1956) 257-58. · Zbl 0074.03002 [8] Mazur, B. : private correspondence . [9] Serre, J.P. : Classes des Corps Cyclotomiques . Seminaire Bourbaki, Dec. 1958. · Zbl 0119.27603 [10] Scholz, A. : Idealklassen und Einheiten in Kubischen Körper . Monatsh. Math. Phys. 30 (1933) 211-222. · Zbl 0007.00301
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