Edit Profile (opens in new tab) Azizi, Abdelmalek Co-Author Distance Author ID: 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 11 Additional arXiv Preprints Reviewing Activity: 92 Reviews Co-Authors: 30 Co-Authors with 90 Joint Publications 215 Co-Co-Authors all top 5 Co-Authors 14 single-authored 42 Zekhnini, Abdelkader 29 25 Taous, Mohammed 12 Ismaili, Moulay Chrif 11 Talbi, Mohammed 10 Chems-Eddin, Mohamed Mahmoud 10 Jerrari, Idriss 7 Mouhib, Ali 6 Aouissi, Siham 6 Elmouhib, Fouad 6 Mayer, Daniel C. 5 Rezzougui, Mohammed 3 Benamara, Jamal 3 Tamimi, Mohammed 2 Azizi, Mostafa 2 Benhamza, Ikram 2 Mezroui, Soufiane 2 Ziane, M’hammed 1 Ayadi, Mohamed Ali 1 Ayadi, Mohammed 1 Babaian, E. 1 Bonnecaze, Alexis 1 Derhem, Aïssa 1 El Marraki, Mohamed 1 Elboukhari, Mohamed 1 Frey, Gerhard 1 Jayaram, Chillumuntala 1 Kishi, Yasuhiro 1 Lamjoun, R. 1 Nitaj, Abderrahmane 1 Rolland, Robert 1 Takook, Mohammad Vahid 1 Talbi, Mohemed 1 Tena Ayuso, Juan Gabriel 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 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 all top 5 Fields 102 Number theory (11-XX) 9 Group theory and generalizations (20-XX) 4 Information and communication theory, circuits (94-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 274 times in 88 Documents Cited by ▼ Year ▼ 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 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 21 1999 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 strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120 Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 11 2016 Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140 Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek 11 2020 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 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 9 2000 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 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 9 2003 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 8 1999 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 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 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 6 2007 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 \(\mathbb{Q}(\sqrt{p_1p_2},i)\) 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 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 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 5 2005 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 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. 5 2008 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 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 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 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 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 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 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 Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061 Azizi, Abdelmalek 3 2002 On principal ideal multiplication modules. Zbl 1499.13043 Azizi, A.; Jayaram, C. 3 2017 On the \(2\)-class group of some number fields with large degree. Zbl 07332701 Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader 3 2021 Unit groups and Iwasawa lambda invariants of some multiquadratic number fields. Zbl 1468.11223 Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader 3 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 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 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 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 some imaginary triquadratic number fields. Zbl 1480.11137 Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader 2 2021 Expansive mappings and their applications in modular space. Zbl 1428.47016 Azizi, A.; Moradi, R.; Razani, A. 2 2014 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 a conjecture of Lemmermeyer. Zbl 1481.11106 Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek 2 2020 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 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 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 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 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 1 2003 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 1 2004 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 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 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 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 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 an infinite family of imaginary triquadratic number fields. Zbl 07438710 Chems-Eddin, M. M.; Azizi, A.; Zekhnini, A. 1 2021 On some metabelian 2-group and applications. II. Zbl 1415.11169 Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2016 On the unit index of some real biquadratic number fields. Zbl 1424.11156 Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2018 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 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 Improving the security of CHAP protocol by quantum cryptography. Zbl 1206.68122 Elboukhari, Mohamed; Azizi, Mostafa; Azizi, Abdelmalek 1 2010 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 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 The structure of the second \(2\)-class group of some special Dirichlet fields. Zbl 1442.11154 Azizi, Abdelmalek; Zekhnini, Abdelkader 1 2020 On a conjecture of Farhi. Zbl 1317.11019 Mezroui, Soufiane; Azizi, Abdelmalek; Ziane, M’hammed 1 2014 On the structure of the \(2\)-Iwasawa module of some number fields of degree \(16\). Zbl 07655789 Jerrari, Idriss; Azizi, Abdelmalek 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 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 \(2\)-class group of some number fields with large degree. Zbl 07332701 Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader 3 2021 Unit groups and Iwasawa lambda invariants of some multiquadratic number fields. Zbl 1468.11223 Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader 3 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 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 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 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 11 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 Expansive mappings and their applications in modular space. Zbl 1428.47016 Azizi, A.; Moradi, R.; Razani, A. 2 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 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 Galois group for some class field. Zbl 1324.11064 Azizi, Abdelmalek; Talbi, Mohammed 1 2014 On a conjecture of Farhi. Zbl 1317.11019 Mezroui, Soufiane; Azizi, Abdelmalek; Ziane, M’hammed 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. 5 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 6 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 5 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 1 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 9 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 1 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 9 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 21 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 8 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 cited Publications top 5 cited Publications all top 5 Cited by 54 Authors 47 Azizi, Abdelmalek 30 Zekhnini, Abdelkader 21 Taous, Mohammed 14 11 Chems-Eddin, Mohamed Mahmoud 11 Mouhib, Ali 8 Mayer, Daniel C. 7 Jerrari, Idriss 7 Talbi, Mohammed 6 Ismaili, Moulay Chrif 5 Aouissi, Siham 3 Haynou, Mbarek 3 Mizusawa, Yasushi 3 Movahhedi, Abbas 3 Tamimi, Mohammed 2 Dakkak, Ahmed 2 Essahel, Said 2 Hajjami, Moulay Ahmed 2 Leriche, Amandine 2 Rezzougui, Mohammed 1 Aaboun, B. 1 Ayadi, Mohamed Ali 1 Benjamin, Elliot 1 Chan, Stephanie F. 1 Chattopadhyay, Jaitra 1 Derhem, Aïssa 1 Desu, Surya Sai Teja 1 Dubois, Isabelle 1 El Fadil, Lhoussain 1 Elmahi, Abdelhak 1 Elmouhib, Fouad 1 Fouvry, Etienne 1 Gras, Georges 1 Heidaryan, Bahar 1 Kishi, Yasuhiro 1 Koo, Jakyung 1 Koymans, Peter 1 Laxmi, H. 1 Li, Jianing 1 Milovic, Djordjo Z. 1 Müller, Katharina 1 Ni, He-Xia 1 Pagano, Carlo 1 Pan, Hao 1 Rajaei, Ali 1 Rao, M. V. Panduranga 1 Rouas, S. 1 Saikia, Anupam 1 Sodaïgui, Bouchaïb 1 Soriano-Gafiuk, Florence 1 Srivastava, Anubhav 1 Wu, Hai-Liang 1 Yoon, Dong Sung 1 Zhang, Shenxing all top 5 Cited in 41 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 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 Mathematica Slovaca 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Acta Mathematica Hungarica 2 Mathematica Bohemica 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 Mathematische Nachrichten 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 São Paulo Journal of Mathematical Sciences Cited in 5 Fields 86 Number theory (11-XX) 8 Group theory and generalizations (20-XX) 4 Commutative algebra (13-XX) 1 History and biography (01-XX) 1 Computer science (68-XX) Citations by Year