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On determining the quadratic subfields of $$Z_2$$-extensions of complex quadratic fields. (English) Zbl 0314.12005

##### MSC:
 11R18 Cyclotomic extensions 11R23 Iwasawa theory
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##### References:
 [1] Edward A. Bender : A Lifting Formula for the Hilbert Symbol . Proc. Am. Math. Soc., Vol. 40. No. 1, Sept. 1973. · Zbl 0243.12008 [2] J.W.S. Cassels and A. Fröhlich : Algebraic Number Theory , Thompson Book Company, 1967. · Zbl 0153.07403 [3] Helmut Hasse : Zahlentheorie , Akademie-Verlag, 1949. · Zbl 0035.02002 [4] Jean-Pierre Serre : Classes Des Corps Cyclotomic , Seminairé Bourbaki, Dec. 1958. · Zbl 0119.27603 [5] Jean-Pierre Serre : Corps Locaux , Hermann, 1962. · Zbl 0137.02601
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