Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader On the 2-class number of some real cyclic quartic number fields. I. (English) Zbl 07815043 Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 19, 26 p. (2024). MSC: 11R29 11R16 11R11 11R80 PDFBibTeX XMLCite \textit{A. Azizi} et al., Bol. Soc. Mat. Mex., III. Ser. 30, No. 1, Paper No. 19, 26 p. (2024; Zbl 07815043) Full Text: DOI
Azizi, Abdelmalek; Elmouhib, Fouad; Talbi, Mohamed 5-rank of ambiguous class groups of quintic Kummer extensions. (English) Zbl 1522.11117 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022). MSC: 11R29 11R16 11R18 11R27 PDFBibTeX XMLCite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 12, 14 p. (2022; Zbl 1522.11117) Full Text: DOI arXiv
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader On the rank of the 2-class group of some imaginary triquadratic number fields. (English) Zbl 1480.11137 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1751-1769 (2021). Reviewer: Claude Levesque (Québec) MSC: 11R11 11R16 11R18 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Rend. Circ. Mat. Palermo (2) 70, No. 3, 1751--1769 (2021; Zbl 1480.11137) Full Text: DOI arXiv
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader On some imaginary triquadratic number fields \(k\) with \(\mathrm{Cl}_2(k)\simeq(2,4)\) or \((2, 2, 2)\). (English) Zbl 07396207 Commentat. Math. Univ. Carol. 62, No. 1, 1-14 (2021). MSC: 11R11 11R16 11R18 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Commentat. Math. Univ. Carol. 62, No. 1, 1--14 (2021; Zbl 07396207) Full Text: DOI arXiv
Azizi, Abdelmalek; Tamimi, Mohammed; Zekhnini, Abdelkader The 2-rank of the class group of some real cyclic quartic number fields. (English) Zbl 1469.11417 Proc. Indian Acad. Sci., Math. Sci. 131, No. 1, Paper No. 7, 17 p. (2021). MSC: 11R16 11R29 11R11 11R80 PDFBibTeX XMLCite \textit{A. Azizi} et al., Proc. Indian Acad. Sci., Math. Sci. 131, No. 1, Paper No. 7, 17 p. (2021; Zbl 1469.11417) Full Text: DOI arXiv
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek The generators of 3-class group of some fields of degree 6 over \(\mathbb{Q}\). (English) Zbl 1474.11185 Bol. Soc. Parana. Mat. (3) 39, No. 3, 37-52 (2021). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Bol. Soc. Parana. Mat. (3) 39, No. 3, 37--52 (2021; Zbl 1474.11185) Full Text: arXiv Link
Aouissi, S.; Mayer, D. C.; Ismaili, M. C.; Talbi, M.; Azizi, A. 3-rank of ambiguous class groups of cubic Kummer extensions. (English) Zbl 1474.11186 Period. Math. Hung. 81, No. 2, 250-274 (2020). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Period. Math. Hung. 81, No. 2, 250--274 (2020; Zbl 1474.11186) Full Text: DOI arXiv
Aouissi, Siham; Talbi, Mohamed; Ismaili, Moulay Chrif; Azizi, Abdelmalek On a conjecture of Lemmermeyer. (English) Zbl 1481.11106 Int. J. Number Theory 16, No. 7, 1407-1424 (2020). Reviewer: Robert W. van der Waall (Huizen) MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Int. J. Number Theory 16, No. 7, 1407--1424 (2020; Zbl 1481.11106) Full Text: DOI arXiv
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed On the capitulation of the 2-ideal classes of the field \(\mathbb{Q}(\sqrt{p_1p_2q},i)\) of type \((2,2,2)\). (English) Zbl 1431.11118 Bol. Soc. Parana. Mat. (3) 38, No. 4, 127-135 (2020). MSC: 11R11 11R16 11R20 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Bol. Soc. Parana. Mat. (3) 38, No. 4, 127--135 (2020; Zbl 1431.11118) Full Text: Link
Aouissi, Siham; Ismaili, Moulay Chrif; Talbi, Mohamed; Azizi, Abdelmalek Fields \(\mathbb{Q}(\sqrt[3]{d}, \zeta_3)\) whose \(3\)-class group is of type \((9, 3)\). (English) Zbl 1479.11185 Int. J. Number Theory 15, No. 7, 1437-1447 (2019). MSC: 11R11 11R16 11R20 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{S. Aouissi} et al., Int. J. Number Theory 15, No. 7, 1437--1447 (2019; Zbl 1479.11185) Full Text: DOI arXiv
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed Capitulation in the absolutely abelian extensions of some number fields. II. (English) Zbl 1422.11228 Acta Math. Vietnam. 42, No. 1, 81-97 (2017). MSC: 11R37 11R11 11R16 11R20 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Acta Math. Vietnam. 42, No. 1, 81--97 (2017; Zbl 1422.11228) Full Text: DOI arXiv
Azizi, Abdelmalek; Talbi, Mohammed; Talbi, Mohamed On the Hilbert tower of certain fields. (Sur la tour de Hilbert de certains corps.) (French. English summary) Zbl 1415.11168 Bol. Soc. Parana. Mat. (3) 34, No. 2, 107-112 (2016). MSC: 11R37 11R16 11R27 11R29 PDFBibTeX XMLCite \textit{A. Azizi} et al., Bol. Soc. Parana. Mat. (3) 34, No. 2, 107--112 (2016; Zbl 1415.11168) Full Text: Link
Azizi, Abdelmalek; Talbi, Mohamed; Talbi, Mohammed; Derhem, Aïssa; Mayer, Daniel C. The group \(\mathrm{Gal}(k_3^{(2)}|k)\) for \(k=\mathbb Q(\sqrt{-3},\sqrt{d})\) of type \((3,3)\). (English) Zbl 1406.11111 Int. J. Number Theory 12, No. 7, 1951-1986 (2016). MSC: 11R37 11R29 11R11 11R16 11R20 20D30 PDFBibTeX XMLCite \textit{A. Azizi} et al., Int. J. Number Theory 12, No. 7, 1951--1986 (2016; Zbl 1406.11111) Full Text: DOI
Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed; Mayer, Daniel C. Principalization of 2-class groups of type (2, 2, 2) of biquadratic fields \(\mathbb{Q}(\sqrt{p_1p_2q},\sqrt{-1})\). (English) Zbl 1319.11079 Int. J. Number Theory 11, No. 4, 1177-1215 (2015). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R37 11R16 11R29 11R32 PDFBibTeX XMLCite \textit{A. Azizi} et al., Int. J. Number Theory 11, No. 4, 1177--1215 (2015; Zbl 1319.11079) Full Text: DOI arXiv
Azizi, Abdelmalek; Talbi, Mohammed Galois group for some class field. (English) Zbl 1324.11064 Miskolc Math. Notes 15, No. 2, 317-325 (2014). MSC: 11R27 11R37 11R16 PDFBibTeX XMLCite \textit{A. Azizi} and \textit{M. Talbi}, Miskolc Math. Notes 15, No. 2, 317--325 (2014; Zbl 1324.11064)
Azizi, Abdelmalek; Ayadi, Mohamed; Ismaili, Moulay Chrif; Talbi, Mohamed 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 \(\mathbb Q\left(\sqrt d,\sqrt{-3}\right)\).) (French) Zbl 1187.11040 Ann. Math. Blaise Pascal 16, No. 1, 71-82 (2009). Reviewer: Paul Buckingham (Edmonton) MSC: 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{A. Azizi} et al., Ann. Math. Blaise Pascal 16, No. 1, 71--82 (2009; Zbl 1187.11040) Full Text: DOI Numdam EuDML
Azizi, Abdelmalek; Talbi, Mohammed Capitulation of 2-class ideals of \(\mathbb Q\left(\sqrt{-pq(2+\sqrt 2)}\right)\) where \(p\equiv q\equiv {\pm 5} \bmod 8\). (Capitulation des 2-classes d’idéaux de \(\mathbb Q \left(\sqrt{-pq(2+\sqrt 2)}\right)\) où \(p\equiv q\equiv {\pm 5} \bmod 8\).) (French) Zbl 1169.11046 Ann. Math. Blaise Pascal 16, No. 1, 57-69 (2009). Reviewer: Paul Buckingham (Edmonton) MSC: 11R27 11R29 11R37 PDFBibTeX XMLCite \textit{A. Azizi} and \textit{M. Talbi}, Ann. Math. Blaise Pascal 16, No. 1, 57--69 (2009; Zbl 1169.11046) Full Text: DOI Numdam EuDML
Azizi, Abdelmalek; Benhamza, Ikram On the capitulation of 2-ideal classes of \(\mathbb Q(\sqrt{d},\sqrt{-2})\). (Sur la capitulation des 2-classes d’idéaux de \(\mathbb Q(\sqrt{d},\sqrt{-2})\).) (French. English summary) Zbl 1217.11097 Ann. Sci. Math. Qué. 29, No. 1, 1-20 (2005). MSC: 11R29 11R16 11R37 PDFBibTeX XMLCite \textit{A. Azizi} and \textit{I. Benhamza}, Ann. Sci. Math. Qué. 29, No. 1, 1--20 (2005; Zbl 1217.11097) Full Text: Link
Azizi, Abdelmalek; Mouhib, Ali 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.) (French) Zbl 1088.11083 Ann. Sci. Math. Qué. 27, No. 2, 123-134 (2003). Reviewer: Claude Levesque (Québec) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{A. Azizi} and \textit{A. Mouhib}, Ann. Sci. Math. Qué. 27, No. 2, 123--134 (2003; Zbl 1088.11083)
Azizi, Abdelmalek; Benhamza, Ikram 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 \((2,2)\).) (French) Zbl 1027.11082 Rend. Ist. Mat. Univ. Trieste 33, No. 1-2, 83-104 (2001). Reviewer: E.Benjamin (Belfast / Maine) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{A. Azizi} and \textit{I. Benhamza}, Rend. Ist. Mat. Univ. Trieste 33, No. 1--2, 83--104 (2001; Zbl 1027.11082)
Azizi, Abdelmalek 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 \(\left(\frac{p_1}{p_2}\right)=-1\). (English) Zbl 1003.11050 Boulagouaz, M’hammed (ed.) et al., Algebra and number theory. Proceedings of a conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 208, 13-19 (2000). Reviewer: Charles Parry (Blacksburg) MSC: 11R29 11R16 11R11 PDFBibTeX XMLCite \textit{A. Azizi}, Lect. Notes Pure Appl. Math. 208, 13--19 (2000; Zbl 1003.11050)
Azizi, Abdelmalek On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\). (Sur le 2-groupe de classes d’idéaux de \(\mathbb{Q}(\sqrt{d},i)\).) (French) Zbl 0920.11076 Rend. Circ. Mat. Palermo, II. Ser. 48, No. 1, 71-92 (1999). Reviewer: Franz Lemmermeyer (Bonn) MSC: 11R29 11R16 PDFBibTeX XMLCite \textit{A. Azizi}, Rend. Circ. Mat. Palermo (2) 48, No. 1, 71--92 (1999; Zbl 0920.11076) Full Text: DOI