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## Azizi, Abdelmalek

Compute Distance To:
 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
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#### 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
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#### 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
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#### 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)

#### 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 1041.11072
Azizi, Abdelmalek
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 0986.11073
Azizi, Abdelmalek; Mouhib, Ali
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 1215.11107
Azizi, Abdelmalek; Taous, Mohammed
2008
Capitulation of 2-ideal classes of $${\mathbb Q}(\sqrt{2},\sqrt{d})$$ where $$d$$ is a square-free natural integer. Zbl 1077.11078
Azizi, Abdelmalek; Mouhib, Ali
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 0953.11033
Azizi, Abdelmalek
2000
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.
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
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
2016
On the units of certain number fields of degree 8 over $$\mathbb Q$$. Zbl 1188.11056
Azizi, Abdelmalek
2005
On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2016
Construction of the 2-Hilbert class field tower of some biquadratic fields. Zbl 1061.11065
Azizi, Abdelmalek
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 1003.11050
Azizi, Abdelmalek
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
2014
Capitulation in certain unramified extensions of cyclic quartic fields. Zbl 1212.11091
Azizi, Abdelmalek; Talbi, M.
2008
On the 2-class group of $$\mathbb{Q}(\sqrt{d},i)$$. Zbl 0920.11076
Azizi, Abdelmalek
1999
On the $$2$$-groups whose abelianizations are of type $$(2, 4)$$ and applications. Zbl 1389.11133
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
2016
On some metabelian 2-groups and applications. I. Zbl 1400.11143
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2016
On the unramified quadratic and biquadratic extensions of the field $${\mathbb Q}(\sqrt{d},i)$$. Zbl 1284.11142
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2012
Capitulation of 2-ideal classes of certain cyclic biquadratic fields. Zbl 1169.11049
Azizi, Abdelmalek; Talbi, Mohammed
2007
On the capitulation of 2-ideal classes of $$\mathbb Q(\sqrt{d},\sqrt{-2})$$. Zbl 1217.11097
Azizi, Abdelmalek; Benhamza, Ikram
2005
Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061
Azizi, Abdelmalek
2002
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.
2017
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
2014
Capitulation of the 2-class group of $${\mathbf k} = {\mathbb Q}(\sqrt{2p},i)$$. Zbl 1139.11048
Azizi, Abdelmalek; Taous, Mohammed
2008
Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. Zbl 1152.11345
Azizi, Abdelmalek; Mouhib, Ali
2005
Capitulation of the $$2$$-class group of $$\mathbb Q(\sqrt d,i)$$. Zbl 0885.11061
Azizi, Abdelmalek
1997
Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek
2020
Fields $$\mathbb{Q}(\sqrt[3]{d}, \zeta_3)$$ whose $$3$$-class group is of type $$(9, 3)$$. Zbl 07085360
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek
2019
Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2017
On some metabelian 2-group and applications. II. Zbl 1415.11169
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
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.
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
2014
Galois group of certain class fields. Zbl 1274.11164
Azizi, Abdelmalek; Talbi, Mohammed
2011
Instances of Arabic cryptography in Morocco. Zbl 1208.94004
Azizi, Abdelmalek; Azizi, Mostafa
2011
Necessary condition and sufficient for certain Galois group to be metacyclic. Zbl 1168.11046
Azizi, Abdelmalek; Taous, Mohammed
2009
On the units of unramified cyclic cubic extensions of some subfields of $$\mathbb Q\left(\sqrt d,\sqrt{-3}\right)$$. Zbl 1187.11040
Azizi, Abdelmalek; Ayadi, Mohamed; Ismaili, Moulay Chrif; Talbi, Mohamed
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 1169.11047
Azizi, Abdelmalek; Taous, Mohammed
2007
The 2-rank of the class group of certain biquadratic fields and applications. Zbl 1051.11057
Azizi, Abdelmalek; Mouhib, Ali
2004
On the 2-component of the class group of the genus field of some biquadratic fields. Zbl 1088.11083
Azizi, Abdelmalek; Mouhib, Ali
2003
Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140
Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader; Azizi, Abdelmalek
2020
Fields $$\mathbb{Q}(\sqrt[3]{d}, \zeta_3)$$ whose $$3$$-class group is of type $$(9, 3)$$. Zbl 07085360
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek
2019
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.
2017
Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
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 1335.11091
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2016
On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2016
On the $$2$$-groups whose abelianizations are of type $$(2, 4)$$ and applications. Zbl 1389.11133
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
2016
On some metabelian 2-groups and applications. I. Zbl 1400.11143
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2016
On some metabelian 2-group and applications. II. Zbl 1415.11169
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
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.
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.
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
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
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
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
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
2012
Galois group of certain class fields. Zbl 1274.11164
Azizi, Abdelmalek; Talbi, Mohammed
2011
Instances of Arabic cryptography in Morocco. Zbl 1208.94004
Azizi, Abdelmalek; Azizi, Mostafa
2011
Necessary condition and sufficient for certain Galois group to be metacyclic. Zbl 1168.11046
Azizi, Abdelmalek; Taous, Mohammed
2009
On the units of unramified cyclic cubic extensions of some subfields of $$\mathbb Q\left(\sqrt d,\sqrt{-3}\right)$$. Zbl 1187.11040
Azizi, Abdelmalek; Ayadi, Mohamed; Ismaili, Moulay Chrif; Talbi, Mohamed
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 1215.11107
Azizi, Abdelmalek; Taous, Mohammed
2008
Capitulation in certain unramified extensions of cyclic quartic fields. Zbl 1212.11091
Azizi, Abdelmalek; Talbi, M.
2008
Capitulation of the 2-class group of $${\mathbf k} = {\mathbb Q}(\sqrt{2p},i)$$. Zbl 1139.11048
Azizi, Abdelmalek; Taous, Mohammed
2008
Capitulation of 2-ideal classes of certain cyclic biquadratic fields. Zbl 1169.11049
Azizi, Abdelmalek; Talbi, Mohammed
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
2007
On the units of certain number fields of degree 8 over $$\mathbb Q$$. Zbl 1188.11056
Azizi, Abdelmalek
2005
On the capitulation of 2-ideal classes of $$\mathbb Q(\sqrt{d},\sqrt{-2})$$. Zbl 1217.11097
Azizi, Abdelmalek; Benhamza, Ikram
2005
Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. Zbl 1152.11345
Azizi, Abdelmalek; Mouhib, Ali
2005
The 2-rank of the class group of certain biquadratic fields and applications. Zbl 1051.11057
Azizi, Abdelmalek; Mouhib, Ali
2004
Capitulation of 2-ideal classes of $${\mathbb Q}(\sqrt{2},\sqrt{d})$$ where $$d$$ is a square-free natural integer. Zbl 1077.11078
Azizi, Abdelmalek; Mouhib, Ali
2003
Construction of the 2-Hilbert class field tower of some biquadratic fields. Zbl 1061.11065
Azizi, Abdelmalek
2003
On the 2-component of the class group of the genus field of some biquadratic fields. Zbl 1088.11083
Azizi, Abdelmalek; Mouhib, Ali
2003
Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061
Azizi, Abdelmalek
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 0986.11073
Azizi, Abdelmalek; Mouhib, Ali
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 0953.11033
Azizi, Abdelmalek
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
2000
Units of certain imaginary abelian number fields over $$\mathbb Q$$. Zbl 1041.11072
Azizi, Abdelmalek
1999
On the 2-class group of $$\mathbb{Q}(\sqrt{d},i)$$. Zbl 0920.11076
Azizi, Abdelmalek
1999
Capitulation of the $$2$$-class group of $$\mathbb Q(\sqrt d,i)$$. Zbl 0885.11061
Azizi, Abdelmalek
1997
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#### 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
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#### 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)