Note on the Hilbert 2-class field tower

DOI10.21136/MB.2022.0056-21OpenAlexW4206554614MaRDI QIDQ5878492

Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini, Abdelmalek Azizi

Publication date: 21 February 2023

Published in: Mathematica Bohemica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/mb.2022.0056-21

zbMATH Keywords

capitulation2-class groupfundamental systems of units2-class field towermultiquadratic field

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29) Other abelian and metabelian extensions (11R20)

Related Items (1)

The unit group of some fields of the form $\mathbb{Q}(\sqrt2, \sqrt{p}, \sqrt{q}, \sqrt{-l})$

Cites Work

• Number fields with class number congruent to 4 mod 8 and Hilbert's Theorem 94
• On the 2-class group of \(\mathbb{Q}(\sqrt{d},i)\)
• Unit groups and Iwasawa lambda invariants of some multiquadratic number fields
• Sur le 2-groupe des classes d'idéaux des corps quadratiques.
• Units and2-class field towers of some multiquadratic number fields
• The structure of the second 2-class group of some special Dirichlet fields
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