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Inventiones mathematicae

, Volume 167, Issue 3, pp 455–513 | Cite as

On the 4-rank of class groups of quadratic number fields

  • Étienne FouvryEmail author
  • Jürgen KlünersEmail author
Article

Abstract

We prove that the 4-rank of class groups of quadratic number fields behaves as predicted in an extension due to Gerth of the Cohen–Lenstra heuristics.

Keywords

Class Group Main Term Vector Subspace Quadratic Number Fundamental Discriminant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Mathématique, Bât. 425Univ. Paris–SudOrsay CedexFrance
  2. 2.Mathematisches InstitutHeinrich-Heine-UniversitätDüsseldorfGermany

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