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. 35–49DOI 10.1007/PL00011159