Local units and Gauss sums |
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Authors: | Miho Aoki |
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Institution: | Department of Mathematics, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji-shi, Tokyo-to, 192-0397, Japan |
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Abstract: | In this paper, we will determine the structure of a certain module which is related to the plus part of the ideal class groups in terms of the divisibility of Gauss sums in some local fields. This result is a generalization of a result of Iwasawa and the previous work of Ichimura and Hachimori. |
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Keywords: | 11R23 |
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