Geodesic
On the ideal class groups of the maximal real subfields of number fields with all roots of unity
Journal of the European Mathematical Society, Tome 1 (1999) no. 1, pp. 35-49.

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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.
DOI : 10.1007/pl00011159
Classification : 11-XX, 00-XX
Keywords: 
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Masato Kurihara. On the ideal class groups of the maximal real subfields of number fields with all roots of unity. Journal of the European Mathematical Society, Tome 1 (1999) no. 1, pp. 35-49. doi : 10.1007/pl00011159. http://geodesic.mathdoc.fr/articles/10.1007/pl00011159/

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