Inventiones mathematicae

, Volume 167, Issue 3, pp 455–513

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

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.

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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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