Capitulation in the absolutely abelian extensions of some number fields. II
DOI10.1007/S40306-016-0194-8zbMath1422.11228arXiv1609.03087OpenAlexW2593166951MaRDI QIDQ514058
Abdelkader Zekhnini, Abdelmalek Azizi, Mohammed Taous
Publication date: 8 March 2017
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.03087
capitulationquadratic fields2-class groupabsolute and relative genus fieldsbiquadratic fieldsfundamental systems of unitsmultiquadratic CM-fields
Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)
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Cites Work
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- Capitulation in the absolutely abelian extensions of some number fields. II
- Principal ideal theorems in the genus field for absolutely abelian extensions
- Imaginary bicyclic biquadratic fields with cyclic 2-class group
- Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\)
- A principal ideal theorem in the genus field
- Coclass of ${\rm Gal}({\mathbb K}_2^{(2)}/{\mathbb K})$ for some fields ${\mathbb K} = {\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$ with 2-class groups of types (2, 2, 2)
- On the strongly ambiguous classes of some biquadratic number fields
- Über Den Bizyklischen Biquadratischen Zahlkörper
- Sur la capitulation des 2-classes d'idéaux de
- Hasse Unit Indices of Dihedral Octic CM-Fields
- The Ambiguous Class Number Formula Revisited
- On the Ideal Class Group of Real Biquadratic Fields
- Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields ${\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$
- ON THE STRONGLY AMBIGUOUS CLASSES OF 𝕜/ℚ(i) WHERE $\mathds{k} = {\mathbb Q}(\sqrt{2p_{1}p_{2}, i})$
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