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

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Journal of the European Mathematical Society

In this paper, for a totally real number field k we show the ideal class group of k(∪n>0μn)+ is trivial. We also study the p-component of the ideal class group of the cyclotomic Zp-extension.

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  1. Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo 192-03, Japan, , , , , , JP

    Masato Kurihara

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  1. Masato Kurihara
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Received January 15, 1998 / final version received July 31, 1998

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Kurihara, M. On the ideal class groups of the maximal real subfields of number fields with all roots of unity . J. Eur. Math. Soc. 1, 35–49 (1999). https://doi.org/10.1007/PL00011159

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  • DOI: https://doi.org/10.1007/PL00011159

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