On Hilbert class field tower for some quartic number fields

We determine the Hilbert 2-class field tower for some quartic number fields k whose 2-class group Ck,2 is isomorphic to ℤ/2ℤ×ℤ/2ℤ.

Bibliographic Details
Main Authors: Abdelmalek Azizi, Mohamed Talbi, Mohammed Talbi
Format: Article
Language:English
Published: Emerald Publishing 2021-04-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.05.005/full/pdf
Description
Summary:We determine the Hilbert 2-class field tower for some quartic number fields k whose 2-class group Ck,2 is isomorphic to ℤ/2ℤ×ℤ/2ℤ.
ISSN:1319-5166
2588-9214