Remarks on unit indices of imaginary abelian number fields

DOI10.1007/BF01258662zbMath0654.12002MaRDI QIDQ1108319

Mikihito Hirabayashi, Ken-ichi Yoshino

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155291

zbMATH Keywords

class numbersunit indexreal unitscounterexamples to Satz 29 in Hasse's monograph

Mathematics Subject Classification ID

Units and factorization (11R27) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (10)

Stickelberger ideal and signature of circular units ⋮ ON THE CLASS NUMBER AND THE FUNDAMENTAL UNIT OF THE REAL QUADRATIC FIELD ⋮ The size function for imaginary cyclic sextic fields ⋮ Remarks on unit indices of imaginary abelian number fields. II ⋮ On the Washington subgroup of the unit group of certain abelian fields ⋮ The imaginary abelian number fields with class numbers equal to their genus class numbers ⋮ A generalization of Maillet and Demyanenko determinants for the cyclotomic \(\mathbb Z_p\)-extension ⋮ Hasse's class number product formula for generalized Dirichlet fields and other types of number fields ⋮ Class numbers of imaginary abelian number fields ⋮ Unnamed Item

Cites Work

• A note on class numbers of algebraic number fields
• The unit indices of imaginary abelian number fields
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• Unnamed Item
• Unnamed Item

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