Pacific Journal of Mathematics

Unit indices of some imaginary composite quadratic fields.

Mikihito Hirabayashi

Article information

Source
Pacific J. Math., Volume 164, Number 1 (1994), 87-104.

Dates
First available in Project Euclid: 8 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102622282

Mathematical Reviews number (MathSciNet)
MR1267502

Zentralblatt MATH identifier
0796.11049

Subjects
Primary: 11R27: Units and factorization
Secondary: 11R20: Other abelian and metabelian extensions

Citation

Hirabayashi, Mikihito. Unit indices of some imaginary composite quadratic fields. Pacific J. Math. 164 (1994), no. 1, 87--104. https://projecteuclid.org/euclid.pjm/1102622282


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References

  • [1] F. Halter-Koch, Arithmetische Theorie der Normalkrper von 2-Potenzgrad mit Diedergruppe, J. Number Theory,3 (1971),412-443.
  • [2] H. Hasse, Uber die Klassenzahl abelscher Zahlkrper, AcademieVerlag, Berlin, 1952 (reproduction: Springer Verlag, (1985)).
  • [3] M. Hirabayashiand K. Yoshino, Remarks on unit indices of imaginary abelian number fields II,Manuscripta Math., 64 (1989),235-251.
  • [4] M. Hirabayashiand K. Yoshino, Unit indices of imaginary abelian number fields of type (2, 2, 2), J. Num- ber Theory, 34 (1990),346-361.
  • [5] T. Kubota, Uber den Bizyklischen Biquadratischen Zahlkrper, Nagoya Math. J., 10 (1956),65-85.
  • [6] H. Wada, On the class number and the unit group of certain algebraic number fields, J. Fac.Sci. Univ. Tokyo, 13 (1966), 201-209.

See also

  • II : Mikihito Hirabayashi. Unit indices of some imaginary composite quadratic fields. II. Pacific Journal of Mathematics volume 173, issue 1, (1996), pp. 93-104.