Infinite Hilbert 2-class field tower of quadratic number fields

DOI10.4064/AA145-3-4zbMATH Open1211.11127OpenAlexW2322587791MaRDI QIDQ3066620

Ali Mouhib

Publication date: 11 January 2011

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa145-3-4

zbMATH Keywords

4-rank2-rank2-class groupimaginary quadratic number fieldHilbert 2-class field tower

Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37) Class numbers, class groups, discriminants (11R29)

Related Items (10)

A positive proportion of some quadratic number fields with infinite Hilbert 2-class field tower ⋮ Infinite class field towers of quadratic fields. ⋮ Infinite Hilbert class field tower ⋮ On Hilbert 2-class fields and 2-towers of imaginary quadratic number fields ⋮ Title not available (Why is that?) ⋮ INFINITE HILBERT CLASS FIELD TOWERS OVER CYCLOTOMIC FIELDS ⋮ Un raffinement du théorème de Golod-Safarevic ⋮ On Hilbert class field tower for some quartic number fields ⋮ On the 2-class field tower conjecture for imaginary quadratic number fields with 2-class group of rank 4 ⋮ The 2-Class Tower of $$\mathbb {Q}(\sqrt{-5460})$$Q(-5460)

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