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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Cyclotomic units and Stickelberger ideals of global function fields


Authors: Jaehyun Ahn, Sunghan Bae and Hwanyup Jung
Journal: Trans. Amer. Math. Soc. 355 (2003), 1803-1818
MSC (2000): Primary 11R58, 11R60
Published electronically: January 14, 2003
MathSciNet review: 1953526
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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.


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Additional Information

Jaehyun Ahn
Affiliation: Department of Mathematics, KAIST Daejon, 305-701, Korea
Email: jaehyun@mathx.kaist.ac.kr

Sunghan Bae
Affiliation: Department of Mathematics, KAIST Daejon, 305-701, Korea
Email: shbae@math.kaist.ac.kr

Hwanyup Jung
Affiliation: Department of Mathematics, KAIST Daejon, 305-701, Korea
Email: hyjung@mathx.kaist.ac.kr

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03245-8
PII: S 0002-9947(03)03245-8
Keywords: cyclotomic units, Stickelberger ideal, global function field
Received by editor(s): July 1, 2001
Received by editor(s) in revised form: October 28, 2002
Published electronically: January 14, 2003
Additional Notes: This work was supported by Korea Research Foundation Grant (KRF-2000-015-DP0010)
Article copyright: © Copyright 2003 American Mathematical Society