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Cyclotomic units and Stickelberger ideals of global function fields |
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| Authors: | Jaehyun Ahn Sunghan Bae Hwanyup Jung |
| Affiliation: | Department of Mathematics, KAIST Daejon, 305-701, Korea ; Department of Mathematics, KAIST Daejon, 305-701, Korea ; Department of Mathematics, KAIST Daejon, 305-701, Korea |
| Abstract: | In this paper, we define the group of cyclotomic units and Stickelberger ideals in any subfield of the cyclotomic function field. We also calculate the index of the group of cyclotomic units in the total unit group in some special cases and the index of Stickelberger ideals in the integral group ring. |
| Keywords: | cyclotomic units Stickelberger ideal global function field |
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