Edit Profile Azizi, Abdelmalek Compute Distance To: Compute Author ID: azizi.abdelmalek Published as: Azizi, A.; Azizi, Abdelmalek Homepage: http://aziziabdelmalek.alghammad.com/ External Links: MGP · ORCID · ResearchGate · dblp Documents Indexed: 87 Publications since 1997, including 1 Book Reviewing Activity: 72 Reviews all top 5 Co-Authors 21 single-authored 28 Zekhnini, Abdelkader 22 Taous, Mohammed 10 Talbi, Mohammed 8 Ismaili, Moulay Chrif 8 Jerrari, Idriss 7 Mouhib, Ali 4 Aouissi, Siham 4 Chems-Eddin, Mohamed Mahmoud 4 Mayer, Daniel C. 2 Ayadi, Mohammed 2 Azizi, Mostafa 2 Benhamza, Ikram 2 Mezroui, Soufiane 2 Rezzougui, Mohammed 2 Ziane, M’hammed 1 Ayadi, Mohamed Ali 1 Benamara, Jamal 1 Bonnecaze, Alexis 1 Derhem, Aïssa 1 El Marraki, Mohamed 1 Elboukhari, Mohamed 1 Frey, Gerhard 1 Kishi, Yasuhiro 1 Lamjoun, R. 1 Nitaj, Abderrahmane 1 Rolland, Robert 1 Tamimi, Mohammed 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 Acta Arithmetica 4 Archivum Mathematicum 4 Asian-European Journal of Mathematics 3 Periodica Mathematica Hungarica 3 Czechoslovak Mathematical Journal 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 Turkish Journal of Mathematics 2 International Journal of Pure and Applied Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Collectanea Mathematica 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Publicationes Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Cryptologia 1 International Journal of Mathematics 1 Mathematica Bohemica 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mathematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 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 Journal of Mathematical Cryptology 1 International Electronic Journal of Pure and Applied Mathematics 1 Annales Mathématiques du Québec 1 Gulf Journal of Mathematics all top 5 Fields 80 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 153 times in 54 Documents Cited by ▼ Year ▼ Units of certain imaginary abelian number fields over \(\mathbb Q\). Zbl 1041.11072Azizi, Abdelmalek 14 1999 On the rank of the \(2\)-class group of \(\mathbb{Q}(\sqrt m,\sqrt d)\) where \(m=2\) or a prime \(p\equiv 1\pmod 4\). Zbl 0986.11073Azizi, Abdelmalek; Mouhib, Ali 13 2001 Determination of the fields \(K=\mathbb Q(\sqrt d,\sqrt{-1})\), given the 2-class groups are of type \((2,4)\) or \((2,2,2)\). Zbl 1215.11107Azizi, Abdelmalek; Taous, Mohammed 9 2008 Capitulation of 2-ideal classes of \({\mathbb Q}(\sqrt{2},\sqrt{d})\) where \(d\) is a square-free natural integer. Zbl 1077.11078Azizi, Abdelmalek; Mouhib, Ali 9 2003 On the capitulation of the 2-class group of \(\mathbb{K}=\mathbb{Q}(\sqrt{2pq}, i)\) where \(p\equiv -q\equiv 1\mod 4\). Zbl 0953.11033Azizi, Abdelmalek 9 2000 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. 8 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 8 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 7 2016 On the units of certain number fields of degree 8 over \(\mathbb Q\). Zbl 1188.11056Azizi, Abdelmalek 7 2005 On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 6 2016 Construction of the 2-Hilbert class field tower of some biquadratic fields. Zbl 1061.11065Azizi, Abdelmalek 5 2003 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 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 4 2014 Capitulation in certain unramified extensions of cyclic quartic fields. Zbl 1212.11091Azizi, Abdelmalek; Talbi, M. 4 2008 On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). Zbl 0920.11076Azizi, Abdelmalek 4 1999 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 3 2016 On the unramified quadratic and biquadratic extensions of the field \({\mathbb Q}(\sqrt{d},i)\). Zbl 1284.11142Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 3 2012 Capitulation of 2-ideal classes of certain cyclic biquadratic fields. Zbl 1169.11049Azizi, Abdelmalek; Talbi, Mohammed 3 2007 On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). Zbl 1217.11097Azizi, Abdelmalek; Benhamza, Ikram 3 2005 Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061Azizi, Abdelmalek 3 2002 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. 2 2017 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 Capitulation of the 2-class group of \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\). Zbl 1139.11048Azizi, Abdelmalek; Taous, Mohammed 2 2008 Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. Zbl 1152.11345Azizi, Abdelmalek; Mouhib, Ali 2 2005 Capitulation of the \(2\)-class group of \(\mathbb Q(\sqrt d,i)\). Zbl 0885.11061Azizi, Abdelmalek 2 1997 Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek 1 2020 Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). Zbl 07085360Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek 1 2019 Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2017 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 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 Galois group of certain class fields. Zbl 1274.11164Azizi, Abdelmalek; Talbi, Mohammed 1 2011 Instances of Arabic cryptography in Morocco. Zbl 1208.94004Azizi, Abdelmalek; Azizi, Mostafa 1 2011 Necessary condition and sufficient for certain Galois group to be metacyclic. Zbl 1168.11046Azizi, Abdelmalek; Taous, Mohammed 1 2009 On the units of unramified cyclic cubic extensions of some subfields of \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\). Zbl 1187.11040Azizi, Abdelmalek; Ayadi, Mohamed; Ismaili, Moulay Chrif; Talbi, Mohamed 1 2009 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 The 2-rank of the class group of certain biquadratic fields and applications. Zbl 1051.11057Azizi, Abdelmalek; Mouhib, Ali 1 2004 On the 2-component of the class group of the genus field of some biquadratic fields. Zbl 1088.11083Azizi, Abdelmalek; Mouhib, Ali 1 2003 Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek 1 2020 Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). Zbl 07085360Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek 1 2019 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. 2 2017 Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 1 2017 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 7 2016 On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120Azizi, 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 3 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. 8 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 8 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 4 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 On the unramified quadratic and biquadratic extensions of the field \({\mathbb Q}(\sqrt{d},i)\). Zbl 1284.11142Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed 3 2012 Galois group of certain class fields. Zbl 1274.11164Azizi, Abdelmalek; Talbi, Mohammed 1 2011 Instances of Arabic cryptography in Morocco. Zbl 1208.94004Azizi, Abdelmalek; Azizi, Mostafa 1 2011 Necessary condition and sufficient for certain Galois group to be metacyclic. Zbl 1168.11046Azizi, Abdelmalek; Taous, Mohammed 1 2009 On the units of unramified cyclic cubic extensions of some subfields of \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\). Zbl 1187.11040Azizi, Abdelmalek; Ayadi, Mohamed; Ismaili, Moulay Chrif; Talbi, Mohamed 1 2009 Determination of the fields \(K=\mathbb Q(\sqrt d,\sqrt{-1})\), given the 2-class groups are of type \((2,4)\) or \((2,2,2)\). Zbl 1215.11107Azizi, Abdelmalek; Taous, Mohammed 9 2008 Capitulation in certain unramified extensions of cyclic quartic fields. Zbl 1212.11091Azizi, Abdelmalek; Talbi, M. 4 2008 Capitulation of the 2-class group of \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\). Zbl 1139.11048Azizi, Abdelmalek; Taous, Mohammed 2 2008 Capitulation of 2-ideal classes of certain cyclic biquadratic fields. Zbl 1169.11049Azizi, Abdelmalek; Talbi, Mohammed 3 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 \(\mathbb Q\). Zbl 1188.11056Azizi, Abdelmalek 7 2005 On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). Zbl 1217.11097Azizi, Abdelmalek; Benhamza, Ikram 3 2005 Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. Zbl 1152.11345Azizi, Abdelmalek; Mouhib, Ali 2 2005 The 2-rank of the class group of certain biquadratic fields and applications. Zbl 1051.11057Azizi, Abdelmalek; Mouhib, Ali 1 2004 Capitulation of 2-ideal classes of \({\mathbb Q}(\sqrt{2},\sqrt{d})\) where \(d\) is a square-free natural integer. Zbl 1077.11078Azizi, Abdelmalek; Mouhib, Ali 9 2003 Construction of the 2-Hilbert class field tower of some biquadratic fields. Zbl 1061.11065Azizi, Abdelmalek 5 2003 On the 2-component of the class group of the genus field of some biquadratic fields. 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 \(p\equiv 1\pmod 4\). Zbl 0986.11073Azizi, Abdelmalek; Mouhib, Ali 13 2001 On the capitulation of the 2-class group of \(\mathbb{K}=\mathbb{Q}(\sqrt{2pq}, i)\) where \(p\equiv -q\equiv 1\mod 4\). 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 \(\mathbb Q\). Zbl 1041.11072Azizi, Abdelmalek 14 1999 On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). Zbl 0920.11076Azizi, Abdelmalek 4 1999 Capitulation of the \(2\)-class group of \(\mathbb Q(\sqrt d,i)\). Zbl 0885.11061Azizi, Abdelmalek 2 1997 all cited Publications top 5 cited Publications all top 5 Cited by 29 Authors 33 Azizi, Abdelmalek 23 Zekhnini, Abdelkader 18 Taous, Mohammed 9 Mouhib, Ali 5 Talbi, Mohammed 4 Jerrari, Idriss 4 Mayer, Daniel C. 3 Chems-Eddin, Mohamed Mahmoud 3 Movahhedi, Abbas 2 Ismaili, Moulay Chrif 2 Leriche, Amandine 2 Mizusawa, Yasushi 1 Aouissi, Siham 1 Ayadi, Mohamed Ali 1 Benjamin, Elliot 1 Dakkak, Ahmed 1 Derhem, Aïssa 1 Dubois, I. 1 Essahel, Said 1 Gras, Georges 1 Haynou, Mbarek 1 Heidaryan, Bahar 1 Kishi, Yasuhiro 1 Koo, Jakyung 1 Rajaei, Ali 1 Rezzougui, Mohammed 1 Soriano-Gafiuk, Florence 1 Tamimi, Mohammed 1 Yoon, Dong Sung all top 5 Cited in 27 Serials 7 Journal of Number Theory 4 International Journal of Number Theory 3 Annales Mathématiques Blaise Pascal 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Asian-European Journal of Mathematics 2 Periodica Mathematica Hungarica 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica Vietnamica 2 Czechoslovak Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal de Théorie des Nombres de Bordeaux 2 Annales Mathématiques du Québec 1 Acta Arithmetica 1 Archivum Mathematicum 1 Collectanea Mathematica 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Tokyo Journal of Mathematics 1 International Journal of Mathematics 1 Turkish Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Algebra and its Applications 1 Journal of Mathematical Cryptology Cited in 4 Fields 53 Number theory (11-XX) 5 Group theory and generalizations (20-XX) 3 Commutative algebra (13-XX) 1 History and biography (01-XX) Citations by Year