Abelian 2-class field towers over the cyclotomic \({\mathbb {Z}_2}\)-extensions of imaginary quadratic fields

DOI10.1007/s00208-009-0431-8zbMath1239.11121OpenAlexW2021315526MaRDI QIDQ966436

Yasushi Mizusawa, Manabu Ozaki

Publication date: 23 April 2010

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-009-0431-8

zbMATH Keywords

class field towerIwasawa theoryclass groups

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items

On the rank of the 2-class group of some imaginary biquadratic number fields ⋮ On the maximal unramified pro-2-extension over the cyclotomic \(\mathbb Z_2\)-extension of an imaginary quadratic field ⋮ The commutativity of Galois groups of the maximal unramified pro-\(p\)-extensions over the cyclotomic \(\mathbb{Z}_{p}\)-extensions. II ⋮ The commutativity of the Galois groups of the maximal unramified pro-\(p\)-extensions over the cyclotomic \(\mathbb Z_p\)-extensions ⋮ On pro-𝑝 link groups of number fields ⋮ On the structure of the Galois group of the maximal pro-\(p\) extension with restricted ramification over the cyclotomic \(\mathbb{Z}_p\)-extension ⋮ On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules

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