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Cyclotomic units and Stickelberger ideals of global function fields
Author(s):
Jaehyun
Ahn;
Sunghan
Bae;
Hwanyup
Jung
Journal:
Trans. Amer. Math. Soc.
355
(2003),
1803-1818.
MSC (2000):
Primary 11R58, 11R60
Posted:
January 14, 2003
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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:
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
Posted:
January 14, 2003
Additional Notes:
This work was supported by Korea Research Foundation Grant (KRF-2000-015-DP0010)
Copyright of article:
Copyright
2003,
American Mathematical Society
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