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Azizi, Abdelmalek

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Author ID: azizi.abdelmalek Recent zbMATH articles by "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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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

Publications by Year

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
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 0986.11073
Azizi, 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 1215.11107
Azizi, 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 1077.11078
Azizi, 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 0953.11033
Azizi, 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 1319.11079
Azizi, 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 1361.11063
Azizi, 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 1335.11091
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
7
2016
On the units of certain number fields of degree 8 over \(\mathbb Q\). Zbl 1188.11056
Azizi, Abdelmalek
7
2005
On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
6
2016
Construction of the 2-Hilbert class field tower of some biquadratic fields. Zbl 1061.11065
Azizi, 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 1003.11050
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
4
2014
Capitulation in certain unramified extensions of cyclic quartic fields. Zbl 1212.11091
Azizi, Abdelmalek; Talbi, M.
4
2008
On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). Zbl 0920.11076
Azizi, Abdelmalek
4
1999
On the \(2\)-groups whose abelianizations are of type \((2, 4)\) and applications. Zbl 1389.11133
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
3
2016
On some metabelian 2-groups and applications. I. Zbl 1400.11143
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
3
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
3
2012
Capitulation of 2-ideal classes of certain cyclic biquadratic fields. Zbl 1169.11049
Azizi, Abdelmalek; Talbi, Mohammed
3
2007
On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). Zbl 1217.11097
Azizi, Abdelmalek; Benhamza, Ikram
3
2005
Sur une question de capitulation. (On the capitulation problem). Zbl 1010.11061
Azizi, Abdelmalek
3
2002
On the second 2-class group \(\mathrm{Gal}(K_2^{(2)} / K)\) of some imaginary quartic cyclic number field \(K\). Zbl 1428.11190
Azizi, 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 1292.11119
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
2
2014
Capitulation of the 2-class group of \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\). Zbl 1139.11048
Azizi, Abdelmalek; Taous, Mohammed
2
2008
Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. Zbl 1152.11345
Azizi, Abdelmalek; Mouhib, Ali
2
2005
Capitulation of the \(2\)-class group of \(\mathbb Q(\sqrt d,i)\). Zbl 0885.11061
Azizi, Abdelmalek
2
1997
Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140
Chems-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 07085360
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek
1
2019
Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
1
2017
On some metabelian 2-group and applications. II. Zbl 1415.11169
Azizi, 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 1406.11111
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 of certain class fields. Zbl 1274.11164
Azizi, Abdelmalek; Talbi, Mohammed
1
2011
Instances of Arabic cryptography in Morocco. Zbl 1208.94004
Azizi, Abdelmalek; Azizi, Mostafa
1
2011
Necessary condition and sufficient for certain Galois group to be metacyclic. Zbl 1168.11046
Azizi, 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 1187.11040
Azizi, 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 1169.11047
Azizi, Abdelmalek; Taous, Mohammed
1
2007
The 2-rank of the class group of certain biquadratic fields and applications. Zbl 1051.11057
Azizi, Abdelmalek; Mouhib, Ali
1
2004
On the 2-component of the class group of the genus field of some biquadratic fields. Zbl 1088.11083
Azizi, Abdelmalek; Mouhib, Ali
1
2003
Units and 2-class field towers of some multiquadratic number fields. Zbl 1455.11140
Chems-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 07085360
Aouissi, 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 1428.11190
Azizi, A.; Jerrari, I.; Zekhnini, A.; Talbi, M.
2
2017
Capitulation in the absolutely abelian extensions of some number fields. II. Zbl 1422.11228
Azizi, 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 1335.11091
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
7
2016
On the strongly ambiguous classes of some biquadratic number fields. Zbl 1413.11120
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
6
2016
On the \(2\)-groups whose abelianizations are of type \((2, 4)\) and applications. Zbl 1389.11133
Azizi, Abdelmalek; Taous, Mohammed; Zekhnini, Abdelkader
3
2016
On some metabelian 2-groups and applications. I. Zbl 1400.11143
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
3
2016
On some metabelian 2-group and applications. II. Zbl 1415.11169
Azizi, 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 1406.11111
Azizi, 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 1319.11079
Azizi, 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 1361.11063
Azizi, 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 1338.11099
Azizi, 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 1292.11119
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
On the unramified quadratic and biquadratic extensions of the field \({\mathbb Q}(\sqrt{d},i)\). Zbl 1284.11142
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed
3
2012
Galois group of certain class fields. Zbl 1274.11164
Azizi, Abdelmalek; Talbi, Mohammed
1
2011
Instances of Arabic cryptography in Morocco. Zbl 1208.94004
Azizi, Abdelmalek; Azizi, Mostafa
1
2011
Necessary condition and sufficient for certain Galois group to be metacyclic. Zbl 1168.11046
Azizi, 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 1187.11040
Azizi, 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 1215.11107
Azizi, Abdelmalek; Taous, Mohammed
9
2008
Capitulation in certain unramified extensions of cyclic quartic fields. Zbl 1212.11091
Azizi, Abdelmalek; Talbi, M.
4
2008
Capitulation of the 2-class group of \({\mathbf k} = {\mathbb Q}(\sqrt{2p},i)\). Zbl 1139.11048
Azizi, Abdelmalek; Taous, Mohammed
2
2008
Capitulation of 2-ideal classes of certain cyclic biquadratic fields. Zbl 1169.11049
Azizi, 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 1169.11047
Azizi, Abdelmalek; Taous, Mohammed
1
2007
On the units of certain number fields of degree 8 over \(\mathbb Q\). Zbl 1188.11056
Azizi, Abdelmalek
7
2005
On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). Zbl 1217.11097
Azizi, Abdelmalek; Benhamza, Ikram
3
2005
Capitulation of the 2-ideal classes of biquadratic fields whose class field differs from the Hilbert class field. Zbl 1152.11345
Azizi, Abdelmalek; Mouhib, Ali
2
2005
The 2-rank of the class group of certain biquadratic fields and applications. Zbl 1051.11057
Azizi, 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 1077.11078
Azizi, Abdelmalek; Mouhib, Ali
9
2003
Construction of the 2-Hilbert class field tower of some biquadratic fields. Zbl 1061.11065
Azizi, Abdelmalek
5
2003
On the 2-component of the class group of the genus field of some biquadratic fields. 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 \(p\equiv 1\pmod 4\). Zbl 0986.11073
Azizi, 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 0953.11033
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 \(\mathbb Q\). Zbl 1041.11072
Azizi, Abdelmalek
14
1999
On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). Zbl 0920.11076
Azizi, Abdelmalek
4
1999
Capitulation of the \(2\)-class group of \(\mathbb Q(\sqrt d,i)\). Zbl 0885.11061
Azizi, Abdelmalek
2
1997

Citations by Year