On some metabelian 2-groups and applications III
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Publication:3181165
DOI10.1142/S1793557116500728zbMath1400.11137MaRDI QIDQ3181165
Mohammed Taous, Abdelmalek Azizi, Abdelkader Zekhnini
Publication date: 22 December 2016
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Galois theory (11R32) Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Finite nilpotent groups, (p)-groups (20D15)
Cites Work
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- Algebraic investigations of Hilbert's theorem 94, the principal ideal theorem and the capitulation problem
- Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\)
- 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 some metabelian 2-groups and applications I
- Sur le 2-groupe des classes d'idéaux des corps quadratiques.
- Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields ${\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$
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