Benjamin, Elliot; Snyder, C. Determination of all imaginary quadratic fields for which their Hilbert 2-class fields have 2-class groups of rank 2. (English) Zbl 07569765 J. Number Theory 238, 1012-1043 (2022). Reviewer: Francesco Battistoni (Milano) MSC: 11R29 20D15 PDF BibTeX XML Cite \textit{E. Benjamin} and \textit{C. Snyder}, J. Number Theory 238, 1012--1043 (2022; Zbl 07569765) Full Text: DOI
Azizi, Abdelmalek; Rezzougui, Mohammed; Taous, Mohammed; Zekhnini, Abdelkader On the Hilbert 2-class field of some quadratic number fields. (English) Zbl 1457.11151 Int. J. Number Theory 15, No. 4, 807-824 (2019). Reviewer: Elliot Benjamin (Winterport) MSC: 11R29 11R11 11R32 11R37 20D15 PDF BibTeX XML Cite \textit{A. Azizi} et al., Int. J. Number Theory 15, No. 4, 807--824 (2019; Zbl 1457.11151) Full Text: DOI
Benjamin, Elliot; Snyder, C. Classification of metabelian 2-groups \(G\) with \(\mathbf{G}^{\mathrm{ab}} (\mathbf{2},\mathbf{2}^{\mathbf n})\), \(\mathbf n\geq \mathbf 2\), and rank \(\mathbf d(\mathbf G^{\prime})=\mathbf 2\). Applications to real quadratic number fields. (English) Zbl 1435.11139 J. Pure Appl. Algebra 223, No. 1, 108-130 (2019). Reviewer: Günter Lettl (Graz) MSC: 11R29 20D15 11R37 PDF BibTeX XML Cite \textit{E. Benjamin} and \textit{C. Snyder}, J. Pure Appl. Algebra 223, No. 1, 108--130 (2019; Zbl 1435.11139) Full Text: DOI
Mizusawa, Yasushi On the maximal unramified pro-2-extension over the cyclotomic \(\mathbb Z_2\)-extension of an imaginary quadratic field. (English) Zbl 1221.11215 J. Théor. Nombres Bordx. 22, No. 1, 115-138 (2010). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R23 11R32 11R18 PDF BibTeX XML Cite \textit{Y. Mizusawa}, J. Théor. Nombres Bordx. 22, No. 1, 115--138 (2010; Zbl 1221.11215) Full Text: DOI Numdam EuDML
Azizi, Abdelmalek; Taous, Mohammed Necessary condition and sufficient for certain Galois group to be metacyclic. (Condition nécessaire et suffisante pour que certain groupe de Galois soit métacyclique.) (French) Zbl 1168.11046 Ann. Math. Blaise Pascal 16, No. 1, 83-92 (2009). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11R27 11R29 11R37 PDF BibTeX XML Cite \textit{A. Azizi} and \textit{M. Taous}, Ann. Math. Blaise Pascal 16, No. 1, 83--92 (2009; Zbl 1168.11046) Full Text: DOI Numdam EuDML
Steurer, Aliza On the Galois groups of the 2-class towers of some imaginary quadratic fields. (English) Zbl 1172.11040 J. Number Theory 125, No. 1, 235-246 (2007). Reviewer: Nuria Vila (Barcelona) MSC: 11R32 11R27 PDF BibTeX XML Cite \textit{A. Steurer}, J. Number Theory 125, No. 1, 235--246 (2007; Zbl 1172.11040) Full Text: DOI