On determining the quadratic subfields of Z 2 -extensions of complex quadratic fields
Carroll, Joseph E.
Compositio Mathematica, Tome 31 (1975), p. 259-271 / Harvested from Numdam
@article{CM_1975__30_3_259_0,
     author = {Carroll, Joseph},
     title = {On determining the quadratic subfields of $Z\_2$-extensions of complex quadratic fields},
     journal = {Compositio Mathematica},
     volume = {31},
     year = {1975},
     pages = {259-271},
     mrnumber = {374082},
     zbl = {0314.12005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1975__30_3_259_0}
}
Carroll, Joseph E. On determining the quadratic subfields of $Z_2$-extensions of complex quadratic fields. Compositio Mathematica, Tome 31 (1975) pp. 259-271. http://gdmltest.u-ga.fr/item/CM_1975__30_3_259_0/

[1] Edward A. Bender: A Lifting Formula for the Hilbert Symbol. Proc. Am. Math. Soc., Vol. 40. No. 1, Sept. 1973. | MR 318058 | Zbl 0243.12008

[2] J.W.S. Cassels and A. Fröhlich: Algebraic Number Theory, Thompson Book Company, 1967.

[3] Helmut Hasse: Zahlentheorie, Akademie-Verlag, 1949. | MR 34400 | Zbl 0035.02002

[4] Jean-Pierre Serre: Classes Des Corps Cyclotomic, Seminairé Bourbaki, Dec. 1958. | Numdam | Zbl 0119.27603

[5] Jean-Pierre Serre: Corps Locaux, Hermann, 1962. | MR 150130 | Zbl 0137.02601