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; 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
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
Taous, Mohammed; Zekhnini, Abdelkader Pólya groups of the imaginary bicyclic biquadratic number fields. (English) Zbl 1428.11185 J. Number Theory 177, 307-327 (2017). MSC: 11R04 11R16 11R27 13F20 PDFBibTeX XMLCite \textit{M. Taous} and \textit{A. Zekhnini}, J. Number Theory 177, 307--327 (2017; Zbl 1428.11185) Full Text: DOI
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; 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