Remarks on Unit indices of imaginary abelian number fields.
Mikihito Hirabayashi, Ken-ichi Yoshino (1988)
Manuscripta mathematica
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Displaying similar documents to “Remarks on unit indices of imaginary abelian number fields II.”
Remarks on Unit indices of imaginary abelian number fields.
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We know that there exist only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Such non-quadratic cyclic number fields are completely determined in [Lou2,4] and [CK]. In this paper we determine all non-cyclic abelian number fields with class numbers equal to their genus class numbers, thus the one class in each genus problem is solved, except for the imaginary quadratic number fields.
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