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Elliptic units and class groups

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Publication:1078609
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DOI10.5802/aif.1057zbMath0597.12005OpenAlexW2328772448MaRDI QIDQ1078609

B. George

Publication date: 1986

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1986__36_3_29_0


zbMATH Keywords

class groupselliptic unitscyclotomic theorytheoremsabelian extensions of imaginary quadratic fieldsMazur-Wiles


Mathematics Subject Classification ID

Quadratic extensions (11R11) Class field theory (11R37) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23) Cyclotomic extensions (11R18) Elliptic and modular units (11G16)


Related Items

Growth of class numbers in \({\mathbb{Z}}_{\ell}\)-extensions connected with imaginary quadratic fields



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Class fields of abelian extensions of \(\mathbb Q\)
  • Congruences entre séries d'Eisenstein, dans le cas supersingulier
  • Classes d'idéaux des corps abéliens et nombres de Bernoulli généralisés
  • Unites elliptiques et unites cyclotomiques
  • Remarques sur les unites cyclotomiques et les unites elliptiques
  • Zur Struktur der l-Klassengruppe galoisscher Zahlkörper.
  • Nombres de Hurwitz et unités elliptiques. Un critère de régularité pour les extensions abéliennes d'un corps quadratique imaginaire
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