The commutativity of the Galois groups of the maximal unramified pro-\(p\)-extensions over the cyclotomic \(\mathbb Z_p\)-extensions

DOI10.1016/j.jnt.2011.08.006zbMath1287.11125OpenAlexW2040483064MaRDI QIDQ765165

Keiji Okano

Publication date: 19 March 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.08.006

zbMATH Keywords

class field tower\(\mathbb Z_p\)-extensionmaximal unramified pro-\(p\)-extension

Mathematics Subject Classification ID

Class field theory (11R37) Iwasawa theory (11R23)

Related Items (1)

On families of imaginary abelian fields with pseudo-null unramified Iwasawa modules

Cites Work

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• A note on class numbers of algebraic number fields
• Abelian 2-class field towers over the cyclotomic \({\mathbb {Z}_2}\)-extensions of imaginary quadratic fields
• The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
• \(\ell\)-extensions of CM-fields and cyclotomic invariants
• The Schur multiplier of a semi-direct product
• Integral Representations of Cyclic Groups of Prime Order
• Abelian p-class field towers over the cyclotomic Z_p-extensions of imaginary quadratic fields
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• Galois representations of Iwasawa modules

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