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On the maximal \(p\)-extensions of real quadratic-fields unramified outside \(p\)

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Publication:1823989
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DOI10.1016/0021-8693(89)90045-8zbMath0682.12005OpenAlexW1967341213MaRDI QIDQ1823989

Keiichi Komatsu

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90045-8


zbMATH Keywords

Galois groupreal quadratic fieldIwasawa theoryfield of class twomaximal p-extension


Mathematics Subject Classification ID

Galois theory (11R32) Class field theory (11R37)


Related Items

On tame pro-\(p\) Galois groups over basic \(\mathbb Z_p\)-extensions ⋮ Explicit deformation of Galois representations ⋮ On the maximal pro-\(p\) extension unramified outside \(p\) of an imaginary quadratic field



Cites Work

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  • Class fields of abelian extensions of \(\mathbb Q\)
  • The Iwasawa invariant \(\mu_p\) vanishes for abelian number fields
  • Riemann-Hurwitz formula and p-adic Galois representations for number fields
  • Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
  • Generators and Relations for Certain Class Two Galois Groups
  • On Fields of Class Two
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