Determination of all quaternion octic CM-fields with ideal class groups of exponents 2. Abridged version

DOI10.3792/pjaa.70.56zbMath0809.11070OpenAlexW1996388588MaRDI QIDQ1330254

Ryotaro Okazaki, Stéphane R. Louboutin

Publication date: 28 August 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.70.56

zbMATH Keywords

Dedekind zeta functionideal class groups of exponent 2quaternion octic CM-fields

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29) Zeta functions and (L)-functions of number fields (11R42)

Related Items (1)

Determination of all quaternion octic CM-fields with ideal class groups of exponents 2. Abridged version

Cites Work

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• Determination of all quaternion octic CM-fields with ideal class groups of exponents 2. Abridged version
• Sur les \(\ell\)-classes d'idéaux dans les extensions cycliques rélatives de degré premier \(\ell\). I
• Artin-root numbers and normal integral bases for quaternion fields
• CM-fields and exponents of their ideal class groups
• Lower Bounds for Relative Class Numbers of CM-Fields
• Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
• Determination of all Quaternion Octic CM-Fields with Class Number 2

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