manuscripta mathematica

, Volume 60, Issue 4, pp 423–436

Remarks on unit indices of imaginary abelian number fields

  • Mikihito Hirabayashi
  • Ken-ichi Yoshino

DOI: 10.1007/BF01258662

Cite this article as:
Hirabayashi, M. & Yoshino, K. Manuscripta Math (1988) 60: 423. doi:10.1007/BF01258662


Let K be an imaginary abelian number field. We determine the unit index of K of certain type whose conductor is a product of two or three prime powers. As a consequence we construct some counterexamples to Satz 29 in Hasse's monograph [2].

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

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

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