manuscripta mathematica

, Volume 64, Issue 2, pp 235–251

Remarks on unit indices of imaginary abelian number fields II

  • Mikihito Hirabayashi
  • Ken-ichi Yoshino
Article

DOI: 10.1007/BF01160122

Cite this article as:
Hirabayashi, M. & Yoshino, K. Manuscripta Math (1989) 64: 235. doi:10.1007/BF01160122

Abstract

Satz 41 in Hasse's monograph [4] is modified because of the incorrectness of Satz 29. We investigate unit indices of imaginary abelian number fields of type (2,2) and (2,2, 2), some of which give counterexamples to Satz 41. We moreover give a relation between unit indices of certain imaginary fields of type (2,22) and those of their real cyclic subfields.

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Mikihito Hirabayashi
    • 1
  • Ken-ichi Yoshino
    • 2
  1. 1.Kanazawa Institute of TechnologyIshikawaJapan
  2. 2.Kanazawa Medical UniversityIshikawaJapan