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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Cyclotomic units in function fields


Authors: Sunghan Bae and Linsheng Yin
Journal: Proc. Amer. Math. Soc. 137 (2009), 401-408
MSC (2000): Primary 11R58
Published electronically: October 3, 2008
MathSciNet review: 2448557
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Abstract: Let $ k$ be a global function field over the finite field $ \mathbb{F}_{q}$ with a fixed place $ \infty $ of degree 1. Let $ K$ be a cyclic extension of degree dividing $ q-1$, in which $ \infty $ is totally ramified. For a certain abelian extension $ L$ of $ k$ containing $ K$, there are two notions of the group of cyclotomic units arising from sign normalized rank 1 Drinfeld modules on $ k$ and on $ K$. In this article we compare these two groups of cyclotomic units.


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Additional Information

Sunghan Bae
Affiliation: Department of Mathematics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Republic of Korea
Email: shbae@math.kaist.ac.kr

Linsheng Yin
Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
Email: lsyin@math.tsinghua.edu.cn

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09587-7
PII: S 0002-9939(08)09587-7
Received by editor(s): February 16, 2007
Published electronically: October 3, 2008
Additional Notes: The first author was supported by KOSEF research grants R01-2006-000-10320-0, F01-2006-000-10040-0 and SRC program (ASARC R11-2007-035-01001-0)
The second author was supported by NSFC (No. 10571097).
Communicated by: Wen-Ching Winnie Li
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.