Edit Profile (opens in new tab) Azizi, Abdelmalek Compute Distance To: Compute 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: 101 Publications since 1997, including 1 Book Reviewing Activity: 89 Reviews Co-Authors: 29 Co-Authors with 77 Joint Publications 198 Co-Co-Authors all top 5 Co-Authors 14 single-authored 36 Zekhnini, Abdelkader 24 22 Taous, Mohammed 11 Talbi, Mohammed 10 Ismaili, Moulay Chrif 10 Jerrari, Idriss 9 Chems-Eddin, Mohamed Mahmoud 7 Mouhib, Ali 5 Aouissi, Siham 5 Mayer, Daniel C. 4 Rezzougui, Mohammed 2 Azizi, Mostafa 2 Benamara, Jamal 2 Benhamza, Ikram 2 Mezroui, Soufiane 2 Tamimi, Mohammed 2 Ziane, M’hammed 1 Ayadi, Mohamed Ali 1 Ayadi, Mohammed 1 Bonnecaze, Alexis 1 Derhem, Aïssa 1 El Marraki, Mohamed 1 Elboukhari, Mohamed 1 Elmouhib, Fouad 1 Frey, Gerhard 1 Jayaram, Chillumuntala 1 Kishi, Yasuhiro 1 Lamjoun, R. 1 Nitaj, Abderrahmane 1 Rolland, Robert 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 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 Boletín de la Sociedad Matemática Mexicana. Third Series 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 93 Number theory (11-XX) 8 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-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 56 Publications have been cited 215 times in 75 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 0986.11073Azizi, Abdelmalek; Mouhib, Ali 19 2001 Units of certain imaginary abelian number fields over \(\mathbb Q\). (Unités de certains corps de nombres imaginaires et abéliens sur \(\mathbb Q\).) Zbl 1041.11072Azizi, Abdelmalek 18 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 1215.11107Azizi, Abdelmalek; Taous, Mohammed 10 2008 On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 10 2016 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 0953.11033Azizi, Abdelmalek 9 2000 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 1077.11078Azizi, Abdelmalek; Mouhib, Ali 9 2003 Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields \(\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\). Zbl 1319.11079Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed; Mayer, Daniel C. 9 2015 Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek 7 2020 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 1188.11056Azizi, Abdelmalek 7 2005 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 1361.11063Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 7 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 1335.11091Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 6 2016 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 0920.11076Azizi, Abdelmalek 6 1999 Capitulation of 2-ideal classes of certain cyclic biquadratic fields. (Capitulation des 2-classes d’idéaux de certains corps biquadratiques cycliques.) Zbl 1169.11049Azizi, Abdelmalek; Talbi, Mohammed 5 2007 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 1061.11065Azizi, Abdelmalek 5 2003 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 1338.11099Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 5 2014 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 1003.11050Azizi, Abdelmalek 5 2000 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 1217.11097Azizi, Abdelmalek; Benhamza, Ikram 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 1051.11057Azizi, Abdelmalek; Mouhib, Ali 4 2004 On the second 2-class group \(\mathrm{Gal}(K_2^{(2)} / K)\) of some imaginary quartic cyclic number field \(K\). Zbl 1428.11190Azizi, A.; Jerrari, I.; Zekhnini, A.; Talbi, M. 4 2017 Capitulation in certain unramified extensions of cyclic quartic fields. (Capitulation dans certaines extensions non ramifiées de corps quartiques cycliques.) Zbl 1212.11091Azizi, Abdelmalek; Talbi, M. 4 2008 Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). Zbl 1479.11185Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek 4 2019 On the unramified quadratic and biquadratic extensions of the field \({\mathbb Q}(\sqrt{d},i)\). Zbl 1284.11142Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 4 2012 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 1152.11345Azizi, Abdelmalek; Mouhib, Ali 4 2005 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 1139.11048Azizi, Abdelmalek; Taous, Mohammed 4 2008 3-rank of ambiguous class groups of cubic Kummer extensions. Zbl 1474.11186Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A. 3 2020 On the \(2\)-groups whose abelianizations are of type \((2, 4)\) and applications. Zbl 1389.11133Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader 3 2016 Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061Azizi, Abdelmalek 3 2002 On the \(2\)-class group of some number fields with large degree. Zbl 07332701Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader 3 2021 On the strongly ambiguous classes of \(k/\mathbb Q(i)\) where \(k=\mathbb Q(\sqrt{2p_1p_2}, i)\). Zbl 1292.11119Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 2 2014 On principal ideal multiplication modules. Zbl 1499.13043Azizi, A.; Jayaram, C. 2 2017 Instances of Arabic cryptography in Morocco. Zbl 1208.94004Azizi, Abdelmalek; Azizi, Mostafa 2 2011 Galois group of certain class fields. (Groupe de Galois de certains corps de classes.) Zbl 1274.11164Azizi, Abdelmalek; Talbi, Mohammed 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 0885.11061Azizi, Abdelmalek 2 1997 On some metabelian 2-groups and applications. I. Zbl 1400.11143Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 2 2016 Structure of Galois group for certain class fields. (Structure du groupe de Galois pour certains corps de classes.) Zbl 1246.11170Azizi, Abdelmalek; Talbi, Mohammed 2 2010 On the Hilbert \(2\)-class field tower of some imaginary biquadratic number fields. Zbl 07332716Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader; Jerrari, Idriss 2 2021 On the Hilbert 2-class field of some quadratic number fields. Zbl 1457.11151Azizi, Abdelmalek; Rezzougui, Mohammed; Taous, Mohammed; Zekhnini, Abdelkader 1 2019 On the capitulation of the 2-ideal classes of the field \(\mathbb{Q}(\sqrt{p_1p_2q},i)\) of type \((2,2,2)\). Zbl 1431.11118Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2020 Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2017 On the rank of the 2-class group of \(\mathbb Q(\sqrt{p},\sqrt{q},\sqrt{-1})\). Zbl 1340.11086Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader 1 2014 On the unit index of some real biquadratic number fields. Zbl 1424.11156Azizi, 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 1438.11136Azizi, A.; Jerrari, I.; Talbi, M. 1 2019 Expansive mappings and their applications in modular space. Zbl 1428.47016Azizi, A.; Moradi, R.; Razani, A. 1 2014 On some metabelian 2-group and applications. II. Zbl 1415.11169Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2016 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 1187.11040Azizi, 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 1168.11046Azizi, Abdelmalek; Taous, Mohammed 1 2009 On the 2-class group of certain number fields. (Sur le 2-groupe de classes de certains corps de nombres.) Zbl 1152.11046Azizi, Abdelmalek 1 2004 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 1088.11083Azizi, Abdelmalek; Mouhib, Ali 1 2003 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 1169.11047Azizi, Abdelmalek; Taous, Mohammed 1 2007 On the rank of the 2-class group of some imaginary triquadratic number fields. Zbl 1480.11137Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader 1 2021 The generators of 3-class group of some fields of degree 6 over \(\mathbb{Q}\). Zbl 1474.11185Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek 1 2021 On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions. Zbl 1488.11169Azizi, Abdelmalek; Rezzougui, Mohammed; Zekhnini, Abdelkader 1 2021 On a conjecture of Lemmermeyer. Zbl 1481.11106Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek 1 2020 On a conjecture of Farhi. Zbl 1317.11019Mezroui, Soufiane; Azizi, Abdelmalek; Ziane, M’hammed 1 2014 Improving the security of CHAP protocol by quantum cryptography. Zbl 1206.68122Elboukhari, Mohamed; Azizi, Mostafa; Azizi, Abdelmalek 1 2010 The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\). Zbl 1406.11111Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C. 1 2016 On the \(2\)-class group of some number fields with large degree. Zbl 07332701Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader 3 2021 On the Hilbert \(2\)-class field tower of some imaginary biquadratic number fields. Zbl 07332716Chems-Eddin, Mohamed Mahmoud; Azizi, Abdelmalek; Zekhnini, Abdelkader; Jerrari, Idriss 2 2021 On the rank of the 2-class group of some imaginary triquadratic number fields. Zbl 1480.11137Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader 1 2021 The generators of 3-class group of some fields of degree 6 over \(\mathbb{Q}\). Zbl 1474.11185Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek 1 2021 On the maximal unramified pro-2-extension of certain cyclotomic \(\mathbb{Z}_2\)-extensions. Zbl 1488.11169Azizi, Abdelmalek; Rezzougui, Mohammed; Zekhnini, Abdelkader 1 2021 Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek 7 2020 3-rank of ambiguous class groups of cubic Kummer extensions. Zbl 1474.11186Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A. 3 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 1431.11118Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2020 On a conjecture of Lemmermeyer. Zbl 1481.11106Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek 1 2020 Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). Zbl 1479.11185Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek 4 2019 On the Hilbert 2-class field of some quadratic number fields. Zbl 1457.11151Azizi, Abdelmalek; Rezzougui, Mohammed; Taous, Mohammed; Zekhnini, Abdelkader 1 2019 On the rank of the 2-class group of an extension of degree 8 over \(\mathbb{Q}\). Zbl 1438.11136Azizi, A.; Jerrari, I.; Talbi, M. 1 2019 On the unit index of some real biquadratic number fields. Zbl 1424.11156Azizi, 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 1428.11190Azizi, A.; Jerrari, I.; Zekhnini, A.; Talbi, M. 4 2017 On principal ideal multiplication modules. Zbl 1499.13043Azizi, A.; Jayaram, C. 2 2017 Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2017 On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 10 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 1335.11091Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 6 2016 On the \(2\)-groups whose abelianizations are of type \((2, 4)\) and applications. Zbl 1389.11133Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader 3 2016 On some metabelian 2-groups and applications. I. Zbl 1400.11143Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 2 2016 On some metabelian 2-group and applications. II. Zbl 1415.11169Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2016 The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\). Zbl 1406.11111Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C. 1 2016 Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields \(\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\). Zbl 1319.11079Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed; Mayer, Daniel C. 9 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 1361.11063Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 7 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 1338.11099Azizi, 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 1292.11119Azizi, 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 1340.11086Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader 1 2014 Expansive mappings and their applications in modular space. Zbl 1428.47016Azizi, A.; Moradi, R.; Razani, A. 1 2014 On a conjecture of Farhi. Zbl 1317.11019Mezroui, Soufiane; Azizi, Abdelmalek; Ziane, M’hammed 1 2014 On the unramified quadratic and biquadratic extensions of the field \({\mathbb Q}(\sqrt{d},i)\). Zbl 1284.11142Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 4 2012 Instances of Arabic cryptography in Morocco. Zbl 1208.94004Azizi, Abdelmalek; Azizi, Mostafa 2 2011 Galois group of certain class fields. (Groupe de Galois de certains corps de classes.) Zbl 1274.11164Azizi, Abdelmalek; Talbi, Mohammed 2 2011 Structure of Galois group for certain class fields. (Structure du groupe de Galois pour certains corps de classes.) Zbl 1246.11170Azizi, Abdelmalek; Talbi, Mohammed 2 2010 Improving the security of CHAP protocol by quantum cryptography. Zbl 1206.68122Elboukhari, 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 1187.11040Azizi, 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 1168.11046Azizi, 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 1215.11107Azizi, Abdelmalek; Taous, Mohammed 10 2008 Capitulation in certain unramified extensions of cyclic quartic fields. (Capitulation dans certaines extensions non ramifiées de corps quartiques cycliques.) Zbl 1212.11091Azizi, Abdelmalek; Talbi, M. 4 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 1139.11048Azizi, 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 1169.11049Azizi, Abdelmalek; Talbi, Mohammed 5 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 1169.11047Azizi, 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 1188.11056Azizi, 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 1217.11097Azizi, Abdelmalek; Benhamza, Ikram 5 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 1152.11345Azizi, Abdelmalek; Mouhib, Ali 4 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 1051.11057Azizi, Abdelmalek; Mouhib, Ali 4 2004 On the 2-class group of certain number fields. (Sur le 2-groupe de classes de certains corps de nombres.) Zbl 1152.11046Azizi, 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 1077.11078Azizi, 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 1061.11065Azizi, 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 1088.11083Azizi, Abdelmalek; Mouhib, Ali 1 2003 Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061Azizi, 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 0986.11073Azizi, Abdelmalek; Mouhib, Ali 19 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 0953.11033Azizi, 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 1003.11050Azizi, 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 1041.11072Azizi, Abdelmalek 18 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 0920.11076Azizi, Abdelmalek 6 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 0885.11061Azizi, Abdelmalek 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 48 Authors 41 Azizi, Abdelmalek 26 Zekhnini, Abdelkader 19 Taous, Mohammed 12 10 Mouhib, Ali 7 Chems-Eddin, Mohamed Mahmoud 6 Jerrari, Idriss 6 Mayer, Daniel C. 6 Talbi, Mohammed 4 Ismaili, Moulay Chrif 3 Aouissi, Siham 3 Mizusawa, Yasushi 3 Movahhedi, Abbas 2 Haynou, Mbarek 2 Leriche, Amandine 2 Rezzougui, Mohammed 2 Tamimi, Mohammed 1 Ayadi, Mohamed Ali 1 Benjamin, Elliot 1 Chan, Stephanie 1 Dakkak, Ahmed 1 Derhem, Aïssa 1 Desu, Surya Sai Teja 1 Dubois, Isabelle 1 Elmahi, Abdelhak 1 Elmouhib, Fouad 1 Essahel, Said 1 Fouvry, Etienne 1 Gras, Georges 1 Hajjami, Moulay Ahmed 1 Heidaryan, Bahar 1 Kishi, Yasuhiro 1 Koo, Jakyung 1 Koymans, Peter 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 Soriano-Gafiuk, Florence 1 Srivastava, Anubhav 1 Wu, Hai-Liang 1 Yoon, Dong Sung 1 Zhang, Shenxing all top 5 Cited in 36 Serials 7 Journal of Number Theory 5 Turkish Journal of Mathematics 5 International Journal of Number Theory 4 Periodica Mathematica Hungarica 3 Czechoslovak Mathematical Journal 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales Mathématiques Blaise Pascal 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Asian-European Journal of Mathematics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica Vietnamica 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 1 Acta Arithmetica 1 Archivum Mathematicum 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematica Slovaca 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 Boletín de la Sociedad Matemática Mexicana. Third Series 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 Cited in 5 Fields 73 Number theory (11-XX) 7 Group theory and generalizations (20-XX) 3 Commutative algebra (13-XX) 1 History and biography (01-XX) 1 Computer science (68-XX) Citations by Year