On the ideal class groups of the maximal real subfields of number fields with all roots of unity |
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| Authors: | Masato Kurihara |
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| Affiliation: | (1) Department of Mathematics, Tokyo Metropolitan University, Hachioji, Tokyo 192-03, Japan, JP |
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| Abstract: | 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. Received January 15, 1998 / final version received July 31, 1998 |
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| Keywords: | Mathematics Subject Classification (1991): 11R23 11R29 11R18 |
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