References

ON THE 2-CLASS FIELD TOWERS OF SOME FIELDS


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[2] A. Azizi, Sur une question de capitulation, Proceedings of the American Mathematical Society 130(94) (2002), 2197-2202.

[3] A. Azizi, Sur les unités de certains corps de nombres de degré 8 sur Ann. Sci. Math. Québec 29(2) (2005), 111-129.

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[5] A. Azizi and M. Taous, Détermination des corps dont les 2-groupe de classes sont de type (2, 4) ou (2, 2, 2), Rend. Istit. Mat. Univ. Trieste. 40 (2008), 93-116.

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[8] E. Golod and I. Shafarevich, On the class field tower, Izv. Akad. Nauk SSSR 28 (1964), 261-272 (in Russian); English translation: Amer. Math. Soc. Transl. 48 (1965), 91-102.

[9] F. Lemmermeyer, Ideal class groups of cyclotomic number fields I, Acta Arith. LXXII 4 (1995).

[10] F. Lemmermeyer, On 2-class field towers of some imaginary quadratic number fields, Abh. Math. Sem. Univ. Hamburg 67 (1997), 205-214.

[11] G. Gras, Class Field Theory, From Theory to Practice, Springer Verlag, 2003.

[12] H. Koch, Zum Satz von Golod-Schafarewitsch, Math. Nachr. 42 (1968), 321-333.

[13] J. Martinet, Tours de corps de classes et estimations de discriminant, Inv. Math. 44 (1978), 65-73.

[14] J. P. Serre, Sur une question d’Olga Taussky, J. Number Theor. 2 (1970), 235-236.

[15] N. Blackburn, On prime-power groups in which the derived group has two generators, Proc. Cambridge Phil. Soc. 53 (1957), 19-27.

[16] O. Taussky, A remark on the class field tower, J. London Math. Soc. 12 (1937), 82-85.

[17] P. Kaplan, Sur le 2-groupe de classes d’idéaux des corps quadratiques, J. Reine Angew. Math. 283/284 (1976), 313-363.