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On the 2-class field towers of some imaginary quartic cyclic number fields

Volume 158 / 2019

Abdelmalek Azizi, Idriss Jerrari, Abdelkader Zekhnini, Mohammed Talbi Colloquium Mathematicum 158 (2019), 103-118 MSC: 11R11, 11R16, 11R29, 11R32, 11R37. DOI: 10.4064/cm7690-10-2018 Published online: 23 July 2019

Abstract

For some imaginary quartic cyclic number fields with $2$-class group of type $(2, 2, 2)$, we prove that their Hilbert $2$-class field towers are finite.

Authors

  • Abdelmalek AziziDepartment of Mathematics
    Faculty of Sciences
    Mohammed First University
    Oujda, Morocco
    e-mail
  • Idriss JerrariDepartment of Mathematics
    Faculty of Sciences
    Mohammed First University
    Oujda, Morocco
    e-mail
  • Abdelkader ZekhniniDepartment of Mathematics and Informatics
    Pluridisciplinary Faculty of Nador
    Mohammed First University
    Nador, Morocco
    e-mail
  • Mohammed TalbiRegional Center of Education and Training
    Oujda, Morocco
    e-mail
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