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Author ID: azizi.abdelmalek Recent zbMATH articles by "Azizi, Abdelmalek"
Published as: Azizi, Abdelmalek; Azizi, A.
Homepage: http://aziziabdelmalek.alghammad.com/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp
Documents Indexed: 115 Publications since 1997, including 1 Book and 10 Additional arXiv Preprints
Reviewing Activity: 92 Reviews
Co-Authors: 29 Co-Authors with 90 Joint Publications
224 Co-Co-Authors
all top 5

Serials

5 Annales des Sciences Mathématiques du Québec
5 Boletim da Sociedade Paranaense de Matemática. Terceira Série
5 International Journal of Number Theory
4 Periodica Mathematica Hungarica
4 Acta Arithmetica
4 Archivum Mathematicum
4 Czechoslovak Mathematical Journal
4 Turkish Journal of Mathematics
4 Asian-European Journal of Mathematics
3 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
3 Annales Mathématiques Blaise Pascal
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 International Journal of Algebra
2 Acta Mathematica Vietnamica
2 Colloquium Mathematicum
2 Pacific Journal of Mathematics
2 Publicationes Mathematicae Debrecen
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Mathematica Bohemica
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Mathematica
2 International Journal of Pure and Applied Mathematics
1 Ukrainian Mathematical Journal
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Collectanea Mathematica
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Number Theory
1 Proceedings of the American Mathematical Society
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Cryptologia
1 International Journal of Mathematics
1 Kyushu Journal of Mathematics
1 Analele Universității din Craiova. Seria Matematică Informatică
1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
1 Arab Journal of Mathematical Sciences
1 Abstract and Applied Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Journal of Integer Sequences
1 Journal of Algebra and its Applications
1 Miskolc Mathematical Notes
1 Travaux en Cours
1 Journal of Mathematical Cryptology
1 International Electronic Journal of Algebra (IEJA)
1 São Paulo Journal of Mathematical Sciences
1 International Electronic Journal of Pure and Applied Mathematics
1 Caspian Journal of Mathematical Sciences
1 Annales Mathématiques du Québec
1 Gulf Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

69 Publications have been cited 293 times in 91 Documents Cited by Year
Units of certain imaginary abelian number fields over \(\mathbb Q\). (Unités de certains corps de nombres imaginaires et abéliens sur \(\mathbb Q\).) Zbl 1041.11072
Azizi, Abdelmalek
24
1999
On the rank of the \(2\)-class group of \(\mathbb{Q}(\sqrt m,\sqrt d)\) where \(m=2\) or a prime \(p\equiv 1\pmod 4\). (Sur le rang du \(2\)-groupe de classes de \(\mathbb{Q}({\sqrt{m}},{\sqrt{d}})\) où \(m=2\) ou un premier \(p\equiv 1\pmod 4\).) Zbl 0986.11073
Azizi, Abdelmalek; Mouhib, Ali
23
2001
Determination of the fields \(K=\mathbb Q(\sqrt d,\sqrt{-1})\), given the 2-class groups are of type \((2,4)\) or \((2,2,2)\). (Déterminations des corps \(K=\mathbb Q(\sqrt d,\sqrt{-1})\) dont les 2-groupes de classes sont de type \((2,4)\) ou \((2,2,2)\).) Zbl 1215.11107
Azizi, Abdelmalek; Taous, Mohammed
13
2008
On the capitulation of the 2-class group of \(\mathbb{K}=\mathbb{Q}(\sqrt{2pq}, i)\) where \(p\equiv -q\equiv 1\mod 4\). (Sur la capitulation des 2-classes d’idéaux de \(\mathbb{K}=\mathbb{Q}(\sqrt{2pq},i)\) où \(p\equiv-q\equiv 1\mod 4\).) Zbl 0953.11033
Azizi, Abdelmalek
12
2000
Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek
12
2020
On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
11
2016
Capitulation of 2-ideal classes of \({\mathbb Q}(\sqrt{2},\sqrt{d})\) where \(d\) is a square-free natural integer. (Capitulation des 2-classes d’idéaux de \({\mathbb Q}(\sqrt{2},\sqrt{d})\) où \(d\) est un entier naturel sans facteurs carrés.) Zbl 1077.11078
Azizi, Abdelmalek; Mouhib, Ali
10
2003
Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields \(\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\). Zbl 1319.11079
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed; Mayer, Daniel C.
10
2015
On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). (Sur le 2-groupe de classes d’idéaux de \(\mathbb{Q}(\sqrt{d},i)\).) Zbl 0920.11076
Azizi, Abdelmalek
9
1999
Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\). Zbl 1361.11063
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
9
2014
Coclass of \(\mathrm{Gal}(\Bbbk_2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\) with 2-class groups of types (2,2,2). Zbl 1335.11091
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
8
2016
On the units of certain number fields of degree 8 over \(\mathbb Q\). (Sur les unités de certains corps de nombres de degré 8 sur \(\mathbb Q\).) Zbl 1188.11056
Azizi, Abdelmalek
7
2005
Capitulation of 2-ideal classes of certain cyclic biquadratic fields. (Capitulation des 2-classes d’idéaux de certains corps biquadratiques cycliques.) Zbl 1169.11049
Azizi, Abdelmalek; Talbi, Mohammed
7
2007
On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). (Sur la capitulation des 2-classes d’idéaux de \(\mathbb Q(\sqrt{d},\sqrt{-2})\).) Zbl 1217.11097
Azizi, Abdelmalek; Benhamza, Ikram
7
2005
3-rank of ambiguous class groups of cubic Kummer extensions. Zbl 1474.11186
Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A.
7
2020
The 2-rank of the class group of certain biquadratic fields and applications. (Le 2-rang du groupe de classes de certains corps biquadratiques et applications.) Zbl 1051.11057
Azizi, Abdelmalek; Mouhib, Ali
6
2004
Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. (Capitulation des 2-classes d’idéaux de certains corps biquadratiques dont le corps de genres diffère du 2-corps de classes de Hilbert.) Zbl 1152.11345
Azizi, Abdelmalek; Mouhib, Ali
6
2005
Capitulation in certain unramified extensions of cyclic quartic fields. (Capitulation dans certaines extensions non ramifiées de corps quartiques cycliques.) Zbl 1212.11091
Azizi, Abdelmalek; Talbi, M.
6
2008
Capitulation of the 2-ideal classes of \(\mathbb{Q}(\sqrt{p_1p_2},i)\) where \(p_1\) and \(p_2\) are primes such that \(p_1\equiv 1 \pmod 8\), \(p_2\equiv 5 \pmod 8\) and \(\left(\frac{p_1}{p_2}\right)=-1\). Zbl 1003.11050
Azizi, Abdelmalek
5
2000
On the 2-class field tower of \(\mathbb Q (\sqrt{2p_1p_2},i)\) and the Galois group of its second Hilbert 2-class field. Zbl 1338.11099
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
5
2014
Construction of the 2-Hilbert class field tower of some biquadratic fields. (Construction de la tour des 2-corps de classes de Hilbert de certains corps biquadratiques.) Zbl 1061.11065
Azizi, Abdelmalek
5
2003
On the unramified quadratic and biquadratic extensions of the field \({\mathbb Q}(\sqrt{d},i)\). Zbl 1284.11142
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
5
2012
On the \(2\)-groups whose abelianizations are of type \((2, 4)\) and applications. Zbl 1389.11133
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
4
2016
Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). Zbl 1479.11185
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek
4
2019
Capitulation of the 2-class group of \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\). (Capitulation des 2-classes d’idéaux de \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\).) Zbl 1139.11048
Azizi, Abdelmalek; Taous, Mohammed
4
2008
Unit groups and Iwasawa lambda invariants of some multiquadratic number fields. Zbl 1468.11223
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader
4
2021
The 2-rank of the class group of some real cyclic quartic number fields. Zbl 1469.11417
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader
4
2021
On the second 2-class group \(\mathrm{Gal}(K_2^{(2)} / K)\) of some imaginary quartic cyclic number field \(K\). Zbl 1428.11190
Azizi, A.; Jerrari, I.; Zekhnini, A.; Talbi, M.
4
2017
Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061
Azizi, Abdelmalek
3
2002
Structure of Galois group for certain class fields. (Structure du groupe de Galois pour certains corps de classes.) Zbl 1246.11170
Azizi, Abdelmalek; Talbi, Mohammed
3
2010
On principal ideal multiplication modules. Zbl 1499.13043
Azizi, A.; Jayaram, C.
3
2017
The 2-rank of the class group of some real cyclic quartic number fields. II. Zbl 1506.11145
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader
3
2021
On the rank of the 2-class group of some imaginary triquadratic number fields. Zbl 1480.11137
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader
3
2021
On the \(2\)-class group of some number fields with large degree. Zbl 07332701
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader
3
2021
Galois group of certain class fields. (Groupe de Galois de certains corps de classes.) Zbl 1274.11164
Azizi, Abdelmalek; Talbi, Mohammed
3
2011
On the 2-component of the class group of the genus field of some biquadratic fields. (Sur le 2-groupe de classes du corps de genres de certains corps biquadratiques.) Zbl 1088.11083
Azizi, Abdelmalek; Mouhib, Ali
2
2003
On the strongly ambiguous classes of \(k/\mathbb Q(i)\) where \(k=\mathbb Q(\sqrt{2p_1p_2}, i)\). Zbl 1292.11119
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2
2014
Expansive mappings and their applications in modular space. Zbl 1428.47016
Azizi, A.; Moradi, R.; Razani, A.
2
2014
On the 2-class group of certain number fields. (Sur le 2-groupe de classes de certains corps de nombres.) Zbl 1152.11046
Azizi, Abdelmalek
2
2004
On a conjecture of Lemmermeyer. Zbl 1481.11106
Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek
2
2020
On the Hilbert 2-class field of some quadratic number fields. Zbl 1457.11151
Azizi, Abdelmalek; Rezzougui, Mohammed; Taous, Mohammed; Zekhnini, Abdelkader
2
2019
Capitulation of the \(2\)-class group of \(\mathbb Q(\sqrt d,i)\). (Sur la capitulation des \(2\)-classes d’idéaux de \(\mathbb Q(\sqrt d,i)\).) Zbl 0885.11061
Azizi, Abdelmalek
2
1997
On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions. Zbl 1488.11169
Azizi, Abdelmalek; Rezzougui, Mohammed; Zekhnini, Abdelkader
2
2021
On the Hilbert \(2\)-class field tower of some imaginary biquadratic number fields. Zbl 07332716
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader; Jerrari, Idriss
2
2021
Instances of Arabic cryptography in Morocco. Zbl 1208.94004
Azizi, Abdelmalek; Azizi, Mostafa
2
2011
The generators of 3-class group of some fields of degree 6 over \(\mathbb{Q}\). Zbl 1474.11185
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek
2
2021
On some metabelian 2-groups and applications. I. Zbl 1400.11143
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2
2016
On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\). Zbl 1340.11086
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
1
2014
On a conjecture of Farhi. Zbl 1317.11019
Mezroui, Soufiane; Azizi, Abdelmalek; Ziane, M’hammed
1
2014
On the capitulation of the 2-ideal classes of the field \(\mathbb{Q}(\sqrt{p_1p_2q},i)\) of type \((2,2,2)\). Zbl 1431.11118
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2020
Determination of the fields \(K={\mathbb Q}(\sqrt d,\sqrt -2)\), the 2-groups of which are of type \((2,2)\). (Détermination des corps \(K={\mathbb Q}(\sqrt d,\sqrt -2)\) dont les 2-groupes de classes sont de type \((2,2)\).) Zbl 1027.11082
Azizi, Abdelmalek; Benhamza, Ikram
1
2001
The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\). Zbl 1406.11111
Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C.
1
2016
On some metabelian 2-group and applications. II. Zbl 1415.11169
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2016
On the rank of the 2-class group of an extension of degree 8 over \(\mathbb{Q}\). Zbl 1438.11136
Azizi, A.; Jerrari, I.; Talbi, M.
1
2019
On the unit index of some real biquadratic number fields. Zbl 1424.11156
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2018
5-rank of ambiguous class groups of quintic Kummer extensions. Zbl 1522.11117
Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed
1
2022
Capitulation of 2-ideal classes of \(k=\mathbb Q(\sqrt{2p},i)\) in the genus field of \(k\) where \(p\) is prime such that \(p\equiv 1 \bmod 8\). Zbl 1169.11047
Azizi, Abdelmalek; Taous, Mohammed
1
2007
On the units of unramified cyclic cubic extensions of some subfields of \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\). (Sur les unités des extensions cubiques cycliques non ramifiées sur certains sous-corps de \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\).) Zbl 1187.11040
Azizi, Abdelmalek; Ayadi, Mohamed; Ismaili, Moulay Chrif; Talbi, Mohamed
1
2009
Improving the security of CHAP protocol by quantum cryptography. Zbl 1206.68122
Elboukhari, Mohamed; Azizi, Mostafa; Azizi, Abdelmalek
1
2010
Principal factors and lattice minima in cubic fields. Zbl 1505.11140
Aouissi, Siham; Azizi, Abdelmalek; Ismaili, Moulay Chrif; Mayer, Daniel C.; Talbi, Mohamed
1
2022
On the structure of the \(2\)-Iwasawa module of some number fields of degree \(16\). Zbl 07655789
Jerrari, Idriss; Azizi, Abdelmalek
1
2022
Note on the Hilbert 2-class field tower. Zbl 07655824
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader
1
2022
Unit groups of some multiquadratic number fields of degree 16. Zbl 1514.11070
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek
1
2022
The structure of the second \(2\)-class group of some special Dirichlet fields. Zbl 1442.11154
Azizi, Abdelmalek; Zekhnini, Abdelkader
1
2020
Necessary condition and sufficient for certain Galois group to be metacyclic. (Condition nécessaire et suffisante pour que certain groupe de Galois soit métacyclique.) Zbl 1168.11046
Azizi, Abdelmalek; Taous, Mohammed
1
2009
Galois group for some class field. Zbl 1324.11064
Azizi, Abdelmalek; Talbi, Mohammed
1
2014
Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2017
On an infinite family of imaginary triquadratic number fields. Zbl 07438710
Chems-Eddin, M. M.; Azizi, A.; Zekhnini, A.
1
2021
On some imaginary triquadratic number fields \(k\) with \(\mathrm{Cl}_2(k)\simeq(2,4)\) or \((2, 2, 2)\). Zbl 07396207
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader
1
2021
5-rank of ambiguous class groups of quintic Kummer extensions. Zbl 1522.11117
Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed
1
2022
Principal factors and lattice minima in cubic fields. Zbl 1505.11140
Aouissi, Siham; Azizi, Abdelmalek; Ismaili, Moulay Chrif; Mayer, Daniel C.; Talbi, Mohamed
1
2022
On the structure of the \(2\)-Iwasawa module of some number fields of degree \(16\). Zbl 07655789
Jerrari, Idriss; Azizi, Abdelmalek
1
2022
Note on the Hilbert 2-class field tower. Zbl 07655824
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader
1
2022
Unit groups of some multiquadratic number fields of degree 16. Zbl 1514.11070
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek
1
2022
Unit groups and Iwasawa lambda invariants of some multiquadratic number fields. Zbl 1468.11223
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader
4
2021
The 2-rank of the class group of some real cyclic quartic number fields. Zbl 1469.11417
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader
4
2021
The 2-rank of the class group of some real cyclic quartic number fields. II. Zbl 1506.11145
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader
3
2021
On the rank of the 2-class group of some imaginary triquadratic number fields. Zbl 1480.11137
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader
3
2021
On the \(2\)-class group of some number fields with large degree. Zbl 07332701
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader
3
2021
On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions. Zbl 1488.11169
Azizi, Abdelmalek; Rezzougui, Mohammed; Zekhnini, Abdelkader
2
2021
On the Hilbert \(2\)-class field tower of some imaginary biquadratic number fields. Zbl 07332716
Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader; Jerrari, Idriss
2
2021
The generators of 3-class group of some fields of degree 6 over \(\mathbb{Q}\). Zbl 1474.11185
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek
2
2021
On an infinite family of imaginary triquadratic number fields. Zbl 07438710
Chems-Eddin, M. M.; Azizi, A.; Zekhnini, A.
1
2021
On some imaginary triquadratic number fields \(k\) with \(\mathrm{Cl}_2(k)\simeq(2,4)\) or \((2, 2, 2)\). Zbl 07396207
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader
1
2021
Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek
12
2020
3-rank of ambiguous class groups of cubic Kummer extensions. Zbl 1474.11186
Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A.
7
2020
On a conjecture of Lemmermeyer. Zbl 1481.11106
Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek
2
2020
On the capitulation of the 2-ideal classes of the field \(\mathbb{Q}(\sqrt{p_1p_2q},i)\) of type \((2,2,2)\). Zbl 1431.11118
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2020
The structure of the second \(2\)-class group of some special Dirichlet fields. Zbl 1442.11154
Azizi, Abdelmalek; Zekhnini, Abdelkader
1
2020
Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). Zbl 1479.11185
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek
4
2019
On the Hilbert 2-class field of some quadratic number fields. Zbl 1457.11151
Azizi, Abdelmalek; Rezzougui, Mohammed; Taous, Mohammed; Zekhnini, Abdelkader
2
2019
On the rank of the 2-class group of an extension of degree 8 over \(\mathbb{Q}\). Zbl 1438.11136
Azizi, A.; Jerrari, I.; Talbi, M.
1
2019
On the unit index of some real biquadratic number fields. Zbl 1424.11156
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2018
On the second 2-class group \(\mathrm{Gal}(K_2^{(2)} / K)\) of some imaginary quartic cyclic number field \(K\). Zbl 1428.11190
Azizi, A.; Jerrari, I.; Zekhnini, A.; Talbi, M.
4
2017
On principal ideal multiplication modules. Zbl 1499.13043
Azizi, A.; Jayaram, C.
3
2017
Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2017
On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
11
2016
Coclass of \(\mathrm{Gal}(\Bbbk_2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\) with 2-class groups of types (2,2,2). Zbl 1335.11091
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
8
2016
On the \(2\)-groups whose abelianizations are of type \((2, 4)\) and applications. Zbl 1389.11133
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
4
2016
On some metabelian 2-groups and applications. I. Zbl 1400.11143
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2
2016
The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\). Zbl 1406.11111
Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C.
1
2016
On some metabelian 2-group and applications. II. Zbl 1415.11169
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2016
Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields \(\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\). Zbl 1319.11079
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed; Mayer, Daniel C.
10
2015
Structure of \(\mathrm {Gal}(\Bbbk _2^{(2)}/\Bbbk)\) for some fields \(\Bbbk=\mathbb {Q}(\sqrt{2p_1p_2},i)\) with \(\mathbf {C}l_2(\Bbbk)\simeq (2, 2, 2)\). Zbl 1361.11063
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
9
2014
On the 2-class field tower of \(\mathbb Q (\sqrt{2p_1p_2},i)\) and the Galois group of its second Hilbert 2-class field. Zbl 1338.11099
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
5
2014
On the strongly ambiguous classes of \(k/\mathbb Q(i)\) where \(k=\mathbb Q(\sqrt{2p_1p_2}, i)\). Zbl 1292.11119
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2
2014
Expansive mappings and their applications in modular space. Zbl 1428.47016
Azizi, A.; Moradi, R.; Razani, A.
2
2014
On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\). Zbl 1340.11086
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
1
2014
On a conjecture of Farhi. Zbl 1317.11019
Mezroui, Soufiane; Azizi, Abdelmalek; Ziane, M’hammed
1
2014
Galois group for some class field. Zbl 1324.11064
Azizi, Abdelmalek; Talbi, Mohammed
1
2014
On the unramified quadratic and biquadratic extensions of the field \({\mathbb Q}(\sqrt{d},i)\). Zbl 1284.11142
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
5
2012
Galois group of certain class fields. (Groupe de Galois de certains corps de classes.) Zbl 1274.11164
Azizi, Abdelmalek; Talbi, Mohammed
3
2011
Instances of Arabic cryptography in Morocco. Zbl 1208.94004
Azizi, Abdelmalek; Azizi, Mostafa
2
2011
Structure of Galois group for certain class fields. (Structure du groupe de Galois pour certains corps de classes.) Zbl 1246.11170
Azizi, Abdelmalek; Talbi, Mohammed
3
2010
Improving the security of CHAP protocol by quantum cryptography. Zbl 1206.68122
Elboukhari, Mohamed; Azizi, Mostafa; Azizi, Abdelmalek
1
2010
On the units of unramified cyclic cubic extensions of some subfields of \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\). (Sur les unités des extensions cubiques cycliques non ramifiées sur certains sous-corps de \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\).) Zbl 1187.11040
Azizi, Abdelmalek; Ayadi, Mohamed; Ismaili, Moulay Chrif; Talbi, Mohamed
1
2009
Necessary condition and sufficient for certain Galois group to be metacyclic. (Condition nécessaire et suffisante pour que certain groupe de Galois soit métacyclique.) Zbl 1168.11046
Azizi, Abdelmalek; Taous, Mohammed
1
2009
Determination of the fields \(K=\mathbb Q(\sqrt d,\sqrt{-1})\), given the 2-class groups are of type \((2,4)\) or \((2,2,2)\). (Déterminations des corps \(K=\mathbb Q(\sqrt d,\sqrt{-1})\) dont les 2-groupes de classes sont de type \((2,4)\) ou \((2,2,2)\).) Zbl 1215.11107
Azizi, Abdelmalek; Taous, Mohammed
13
2008
Capitulation in certain unramified extensions of cyclic quartic fields. (Capitulation dans certaines extensions non ramifiées de corps quartiques cycliques.) Zbl 1212.11091
Azizi, Abdelmalek; Talbi, M.
6
2008
Capitulation of the 2-class group of \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\). (Capitulation des 2-classes d’idéaux de \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\).) Zbl 1139.11048
Azizi, Abdelmalek; Taous, Mohammed
4
2008
Capitulation of 2-ideal classes of certain cyclic biquadratic fields. (Capitulation des 2-classes d’idéaux de certains corps biquadratiques cycliques.) Zbl 1169.11049
Azizi, Abdelmalek; Talbi, Mohammed
7
2007
Capitulation of 2-ideal classes of \(k=\mathbb Q(\sqrt{2p},i)\) in the genus field of \(k\) where \(p\) is prime such that \(p\equiv 1 \bmod 8\). Zbl 1169.11047
Azizi, Abdelmalek; Taous, Mohammed
1
2007
On the units of certain number fields of degree 8 over \(\mathbb Q\). (Sur les unités de certains corps de nombres de degré 8 sur \(\mathbb Q\).) Zbl 1188.11056
Azizi, Abdelmalek
7
2005
On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). (Sur la capitulation des 2-classes d’idéaux de \(\mathbb Q(\sqrt{d},\sqrt{-2})\).) Zbl 1217.11097
Azizi, Abdelmalek; Benhamza, Ikram
7
2005
Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. (Capitulation des 2-classes d’idéaux de certains corps biquadratiques dont le corps de genres diffère du 2-corps de classes de Hilbert.) Zbl 1152.11345
Azizi, Abdelmalek; Mouhib, Ali
6
2005
The 2-rank of the class group of certain biquadratic fields and applications. (Le 2-rang du groupe de classes de certains corps biquadratiques et applications.) Zbl 1051.11057
Azizi, Abdelmalek; Mouhib, Ali
6
2004
On the 2-class group of certain number fields. (Sur le 2-groupe de classes de certains corps de nombres.) Zbl 1152.11046
Azizi, Abdelmalek
2
2004
Capitulation of 2-ideal classes of \({\mathbb Q}(\sqrt{2},\sqrt{d})\) where \(d\) is a square-free natural integer. (Capitulation des 2-classes d’idéaux de \({\mathbb Q}(\sqrt{2},\sqrt{d})\) où \(d\) est un entier naturel sans facteurs carrés.) Zbl 1077.11078
Azizi, Abdelmalek; Mouhib, Ali
10
2003
Construction of the 2-Hilbert class field tower of some biquadratic fields. (Construction de la tour des 2-corps de classes de Hilbert de certains corps biquadratiques.) Zbl 1061.11065
Azizi, Abdelmalek
5
2003
On the 2-component of the class group of the genus field of some biquadratic fields. (Sur le 2-groupe de classes du corps de genres de certains corps biquadratiques.) Zbl 1088.11083
Azizi, Abdelmalek; Mouhib, Ali
2
2003
Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061
Azizi, Abdelmalek
3
2002
On the rank of the \(2\)-class group of \(\mathbb{Q}(\sqrt m,\sqrt d)\) where \(m=2\) or a prime \(p\equiv 1\pmod 4\). (Sur le rang du \(2\)-groupe de classes de \(\mathbb{Q}({\sqrt{m}},{\sqrt{d}})\) où \(m=2\) ou un premier \(p\equiv 1\pmod 4\).) Zbl 0986.11073
Azizi, Abdelmalek; Mouhib, Ali
23
2001
Determination of the fields \(K={\mathbb Q}(\sqrt d,\sqrt -2)\), the 2-groups of which are of type \((2,2)\). (Détermination des corps \(K={\mathbb Q}(\sqrt d,\sqrt -2)\) dont les 2-groupes de classes sont de type \((2,2)\).) Zbl 1027.11082
Azizi, Abdelmalek; Benhamza, Ikram
1
2001
On the capitulation of the 2-class group of \(\mathbb{K}=\mathbb{Q}(\sqrt{2pq}, i)\) where \(p\equiv -q\equiv 1\mod 4\). (Sur la capitulation des 2-classes d’idéaux de \(\mathbb{K}=\mathbb{Q}(\sqrt{2pq},i)\) où \(p\equiv-q\equiv 1\mod 4\).) Zbl 0953.11033
Azizi, Abdelmalek
12
2000
Capitulation of the 2-ideal classes of \(\mathbb{Q}(\sqrt{p_1p_2},i)\) where \(p_1\) and \(p_2\) are primes such that \(p_1\equiv 1 \pmod 8\), \(p_2\equiv 5 \pmod 8\) and \(\left(\frac{p_1}{p_2}\right)=-1\). Zbl 1003.11050
Azizi, Abdelmalek
5
2000
Units of certain imaginary abelian number fields over \(\mathbb Q\). (Unités de certains corps de nombres imaginaires et abéliens sur \(\mathbb Q\).) Zbl 1041.11072
Azizi, Abdelmalek
24
1999
On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). (Sur le 2-groupe de classes d’idéaux de \(\mathbb{Q}(\sqrt{d},i)\).) Zbl 0920.11076
Azizi, Abdelmalek
9
1999
Capitulation of the \(2\)-class group of \(\mathbb Q(\sqrt d,i)\). (Sur la capitulation des \(2\)-classes d’idéaux de \(\mathbb Q(\sqrt d,i)\).) Zbl 0885.11061
Azizi, Abdelmalek
2
1997
all top 5

Cited in 42 Serials

7 Journal of Number Theory
7 International Journal of Number Theory
5 Turkish Journal of Mathematics
4 Periodica Mathematica Hungarica
4 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Czechoslovak Mathematical Journal
3 Mathematica Bohemica
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
3 Annales Mathématiques Blaise Pascal
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Asian-European Journal of Mathematics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica Vietnamica
2 Mathematische Nachrichten
2 Mathematica Slovaca
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 Acta Mathematica Hungarica
2 Journal de Théorie des Nombres de Bordeaux
2 Annales Mathématiques du Québec
2 Research in Number Theory
1 Rocky Mountain Journal of Mathematics
1 Acta Arithmetica
1 Archivum Mathematicum
1 Canadian Mathematical Bulletin
1 Collectanea Mathematica
1 Colloquium Mathematicum
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Manuscripta Mathematica
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 International Journal of Mathematics
1 Kyushu Journal of Mathematics
1 Arab Journal of Mathematical Sciences
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Algebra and its Applications
1 Journal of Mathematical Cryptology
1 International Electronic Journal of Algebra (IEJA)
1 São Paulo Journal of Mathematical Sciences

Citations by Year