Construction de corps de nombres algébriques avec les groupes des classes d'idéaux de types donnés
Journées arithmétiques de Besançon, Astérisque no. 147-148  (1987), p. 301-306
@incollection{AST_1987__147-148__301_0,
     author = {Iyanaga, S.},
     title = {Construction de corps de nombres alg\'ebriques avec les groupes des classes d'id\'eaux de types donn\'es},
     booktitle = {Journ\'ees arithm\'etiques de Besan\c con},
     author = {Collectif},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {147-148},
     year = {1987},
     pages = {301-306},
     zbl = {0622.12009},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1987__147-148__301_0}
}
Iyanaga, S. Construction de corps de nombres algébriques avec les groupes des classes d'idéaux de types donnés, in Journées arithmétiques de Besançon, Astérisque, no. 147-148 (1987), pp. 301-306. http://www.numdam.org/item/AST_1987__147-148__301_0/

[1] T. Azuhata & H. Ichimura, On the divisibility problem of the class numbers of algebraic number fields, J. Fac. Sc. Univ. Tokyo, 30 (1984), 579-585. | Zbl 0532.12006

[2] M. Craig, A type of class groups for imaginary quadratic fields, Acta Arith., 22 (1973), 449-459. | Article | Zbl 0227.12003

[3] M. Craig, A construction for irregular discriminants, Osaka J. Math. 14 (1977), 365-402. | Zbl 0366.12007

[4] G. Gras, Sur les -classes d'idéaux dans les extensions cycliques relatives de degré premier , Ann. Inst. Fourier 23, no. 3 (1973), 1-48. | Zbl 0276.12013

[5] H. Ichimura, On 2-rank of the ideal class groups of totally real number fields, Proc. Japan Acad. 58A (1982), 329-332. | Article | Zbl 0514.12015

[6] M. Ishida, On 2-rank of the ideal class groups of algebraic number fields, J. reine ang. Math. 273 (1975), 165-169. | Zbl 0299.12009

[7] M. Ishida, The genus fields of algebraic number fields, LNM Springer 555 (1976). | Zbl 0353.12001

[8] T. Nagell, Über die Klassenzahl imaginär-quadratischer Zahlkörper, Abh. Math. Sem. Hamburg 1 (1922), 140-150. | JFM 48.0170.03

[9] S. Nakano, Class numbers of pure cubic fields, Proc. Japan Acad. 59A (1983), 263-265. | Article | Zbl 0515.12002

[10] S. Nakano, On the 2-rank of the ideal class groups of pure number fields, Arch. Math. 42 (1984), 53-57. | Article | Zbl 0531.12006

[11] S. Nakano, On ideal class groups of algebraic number fields. Thesis, Gakushuin Univ. (1985). | Zbl 0559.12004

[12] S. Nakano, On ideal class groups of algebraic number fields, J. reine ang. Math. 358 (1985), 61-75. | Zbl 0559.12004

[13] S. Nakano, Ideal class groups of cubic cyclic fields, to appear in Acta Arith. | Zbl 0601.12007

[14] K. Uchida, Class numbers of cubic cyclic fields, J. Math. Soc. Japan 26 (1974), 447-453. | Article | Zbl 0281.12007

[15] O. Yahagi, Construction of number fields with prescribed -class groups, Tokyo J. Math. 1 (1978), 275-283. | Article | Zbl 0403.12011

[16] Y. Yamamoto, On unramified Galois extensions of quadratic number fields, Osaka J. Math. 7 (1970), 57-76. | Zbl 0222.12003

[17] S. Nakano, On the construction of pure number fields of odd degrees with large 2-class groups, Proc. Japan Acad. 62A (1986), 61-64. | Article | Zbl 0592.12005

[18] Jean François Mestre, Courbes elliptiques et groupes de classes d'idéaux de certains corps quadratiques, J. reine angew. Math. 343 (1983), 23-35. | Zbl 0502.12004