On some exact sequences in the theory of cyclotomic fields |
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| Authors: | Miho Aoki |
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| Affiliation: | aDepartment of Applied Mathematics, Faculty of Science, Okayama University of Science, Ridai 1-1, Okayama 700-0005, Japan |
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| Abstract: | The purpose of this article is to show the existence of some exact sequences which relate the ideal class groups of cyclotomic fields to Gauss sums. These exact sequences imply the results of Hachimori, Ichimura and Beliaeva. Furthermore, we study the relations between the étale cohomology groups and some conjectures on cyclotomic fields. |
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| Keywords: | Ideal class groups Algebraic K-groups Iwasawa theory Cyclotomic units Gauss sums p-adic L-function |
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