JournalsjemsVol. 1, No. 1pp. 35–49

On the ideal class groups of the maximal real subfields of number fields with all roots of unity

  • Masato Kurihara

    Tokyo Metropolitan University, Japan
On the ideal class groups of the maximal real subfields of number fields with all roots of unity cover
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Abstract

In this paper, for a totally real number field k we show the ideal class group of k(?n>07n)+ is trivial. We also study the p-component of the ideal class group of the cyclotomic Zp-extension.

Cite this article

Masato Kurihara, On the ideal class groups of the maximal real subfields of number fields with all roots of unity. J. Eur. Math. Soc. 1 (1999), no. 1, pp. 35–49

DOI 10.1007/PL00011159