A class number calculation of the 5th layer of the cyclotomic z2-extension of q(5)

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For a positive integer n, let Kn be the n-th layer of the the cyclotomic Z2-extension of Q(5), which is the real quadratic field with the minimal discriminant. We prove that the class number of K5 is 1.

Original languageEnglish
Pages (from-to)87-94
Number of pages8
JournalFunctiones et Approximatio, Commentarii Mathematici
Issue number1
Publication statusPublished - 2020


  • Class number
  • Computation

ASJC Scopus subject areas

  • Mathematics(all)


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