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