On the ideal class groups of the \(p\)-class fields of quadratic number fields
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Publication:1201481
DOI10.3792/pjaa.68.62zbMath0762.11043OpenAlexW2072481399MaRDI QIDQ1201481
Publication date: 17 January 1993
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.68.62
Class numbers, class groups, discriminants (11R29) Galois cohomology (11R34) Other abelian and metabelian extensions (11R20)
Related Items (3)
Notes on the ideal class groups of the p-class fields of some algebraic number fields ⋮ Some \(p\)-groups with two generators which satisfy certain conditions arising from arithmetic in imaginary quadratic fields ⋮ Abelian 2-class field towers over the cyclotomic \({\mathbb {Z}_2}\)-extensions of imaginary quadratic fields
Cites Work
- Algebraic investigations of Hilbert's theorem 94, the principal ideal theorem and the capitulation problem
- Some \(p\)-groups with two generators which satisfy certain conditions arising from arithmetic in imaginary quadratic fields
- On the existence of unramified p-extensions
- Kapitulation der Idealklassen und Einheitenstruktur in Zahlkörpern.
- Endliche Gruppen I
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