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11R16 Cubic and quartic extensions (13 articles)

• Sahmoudi, Mohammed; Charkani, Mohamed E.: On relative pure cyclic fields with power integral bases. (English). Mathematica Bohemica, vol. 148 (2023), issue 1, pp. 117-128
• Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader: Note on the Hilbert 2-class field tower. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 513-524
• El Fadil, Lhoussain: On power integral bases for certain pure number fields defined by $x^{18}-m$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 1, pp. 11-19
• Jerrari, Idriss; Azizi, Abdelmalek: On the structure of the 2-Iwasawa module of some number fields of degree 16. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 4, pp. 1145-1156
• Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader: On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 62 (2021), issue 1, pp. 1-14
• Pérez-Hernández, Julio; Pineda-Ruelas, Mario: Ramification in quartic cyclic number fields $K$ generated by $x^4+px^2+p$. (English). Mathematica Bohemica, vol. 146 (2021), issue 4, pp. 471-481
• Azizi, Abdelmalek; Benamara, Jamal; Ismaili, Moulay Chrif; Talbi, Mohammed: The reduced ideals of a special order in a pure cubic number field. (English). Archivum Mathematicum, vol. 56 (2020), issue 3, pp. 171-182
• Louboutin, Stéphane R.: When is the order generated by a cubic, quartic or quintic algebraic unit Galois invariant: three conjectures. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 4, pp. 905-919
• Azizi, Abdelmalek; Zekhnini, Abdelkader; Taous, Mohammed: On the strongly ambiguous classes of some biquadratic number fields. (English). Mathematica Bohemica, vol. 141 (2016), issue 3, pp. 363-384
• Lemmermeyer, F.: Why is the class number of $\mathbb Q(\root 3\of {11})$ even?. (English). Mathematica Bohemica, vol. 138 (2013), issue 2, pp. 149-163
• Dubickas, Artūras: Mahler measures in a cubic field. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 3, pp. 949-956
• Azizi, Abdelmalek; Mouhib, Ali: Sur l'existence des corps biquadratiques $K$ dont le groupe de Galois du deuxième $2$-corps de classes de Hilbert par rapport à $K$ est semi-diédral. (French) [Existence of biquadratic fields $K$ for which the Galois group of the second Hilbert 2-class field with respect to $K$ is semidihedral]. Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 253-263
• Spearman, Blair K.; Williams, Kenneth S.: The conductor of a cyclic quartic field using Gauss sums. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 3, pp. 453-462