Abdelkader Zekhnini

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Person:484585

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zbMath Open zekhnini.abdelkaderMaRDI QIDQ484585

List of research outcomes

PublicationDate of PublicationType
On the 2-class number of some real cyclic quartic number fields. I2024-03-11Paper
On the metacyclic 2-groups whose abelianizations are of type \((2, 2^n)\), \(n\geq 2\) and applications2023-07-21Paper
Note on the Hilbert 2-class field tower2023-02-21Paper
Cyclicity of the 2-class group of the first Hilbert 2-class field of some number fields2023-02-18Paper
Unit groups of some multiquadratic number fields of degree 162022-12-02Paper
The2-rankof the class group of some real cyclic quartic number fields II2022-08-30Paper
Structure of the Galois group of the maximal unramified pro-$2$-extension of some $\mathbb{Z}_2$-extensions2022-02-22Paper
On an infinite family of imaginary triquadratic number fields2021-12-03Paper
On the rank of the 2-class group of some imaginary triquadratic number fields2021-11-11Paper
On quaternion algebras over the composite of quadratic number fields2021-10-27Paper
On quaternion algebras over some extensions of quadratic number fields2021-10-18Paper
On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$2021-09-16Paper
On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions2021-08-03Paper
The 2-rank of the class group of some real cyclic quartic number fields2021-05-04Paper
Unit groups and Iwasawa lambda invariants of some multiquadratic number fields2021-05-03Paper
On the $2$-class group of some number fields with large degree2021-04-13Paper
On the Hilbert $2$-class field tower of some imaginary biquadratic number fields2021-04-13Paper
Units and2-class field towers of some multiquadratic number fields2020-10-12Paper
The structure of the second 2-class group of some special Dirichlet fields2020-06-10Paper
On the Hilbert $2$-class field towers of some cyclotomic $\mathbb{Z}_2$-extensions2020-05-13Paper
On some imaginary triquadratic number fields $k$ with $\mathrm{Cl}_2(k)\simeq(2, 4)$ or $(2, 2, 2)$2020-02-08Paper
https://portal.mardi4nfdi.de/entity/Q52147682020-02-05Paper
On the 2-class field towers of some imaginary quartic cyclic number fields2019-10-16Paper
On quaternion algebras that split over quadratic number fields2019-06-25Paper
Capitulation of the 2-ideal classes of type \((2, 2, 2)\) of some quartic cyclic number fields2019-05-21Paper
On the Hilbert 2-class field of some quadratic number fields2019-05-21Paper
On the unit index of some real biquadratic number fields2019-05-07Paper
https://portal.mardi4nfdi.de/entity/Q46275362019-03-11Paper
On the $2$-groups whose abelianizations are of type $(2, 4)$ and applications2017-11-10Paper
Group Theory and the Capitulation Problem for Some Number Fields2017-06-12Paper
Pólya groups of the imaginary bicyclic biquadratic number fields2017-05-18Paper
On the second 2-class group \(\mathrm{Gal}(K_2^{(2)} / K)\) of some imaginary quartic cyclic number field \(K\)2017-05-18Paper
Capitulation in the absolutely abelian extensions of some number fields. II2017-03-08Paper
https://portal.mardi4nfdi.de/entity/Q29658622017-03-03Paper
https://portal.mardi4nfdi.de/entity/Q29658642017-03-03Paper
On some metabelian 2-groups and applications III2016-12-22Paper
On the strongly ambiguous classes of some biquadratic number fields2016-10-26Paper
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)2016-02-19Paper
On some metabelian 2-groups and applications I2015-10-21Paper
Capitulation in the absolutely abelian extensions of some fields $\mathbb{Q}(\sqrt{p_1p_2q}, \sqrt{-1})$2015-07-01Paper
Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields ${\mathbb Q}(\sqrt{p_1p_2q}, \sqrt{-1})$2015-06-05Paper
Sur l'\'equation $X^2-\varepsilon_2\varepsilon_{p_1p_2}\varepsilon_{2p_1p_2}=0$2015-04-19Paper
Sur la capitulation des 2-classes d'id\'eaux du corps Q(\sqrt{2p_1p_2}, i)2015-03-17Paper
Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\)2015-02-09Paper
Sur un problème de capitulation du corps ℚ $\sqrt {p_1 p_2 } $ , i dont le 2-groupe de classes est élémentaire2015-01-27Paper
On the 2-class field tower of \(\mathbb Q (\sqrt{2p_1p_2},i)\) and the Galois group of its second Hilbert 2-class field2015-01-15Paper
On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\)2015-01-07Paper
ON THE STRONGLY AMBIGUOUS CLASSES OF 𝕜/ℚ(i) WHERE $\mathds{k} = {\mathbb Q}(\sqrt{2p_{1}p_{2}, i})$2014-05-21Paper
https://portal.mardi4nfdi.de/entity/Q48979882012-12-28Paper

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