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Maximal independent system of units in function fields

Published online by Cambridge University Press:  17 April 2009

Hwanyup Jung  and
Jaehyun Ahn
Hwanyup Jung
Affiliation:
Department of Mathematics, Korea University, Seoul, Korea 136–701, e-mail: hyjung@mathx.kaist.ac.kr
Jaehyun Ahn
Affiliation:
Department of Mathematics, Kaist, Taejon, Korea 305–701, e-mail: jaehyun@mathx.kaist.ac.kr
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Abstract

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In this paper, we construct a new maximal independent system of units in cyclotomic function fields and their subfields. We also calculate its index in the full units group and show that it is smaller than the index of Feng-Yin's system.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 65 , Issue 3 , June 2002 , pp. 385 - 392
Copyright
Copyright © Australian Mathematical Society 2002

References

[1]Bae, S., Jung, H. and Ahn, J., ‘Cyclotomic units and Stickelberger ideals of global function fields’, (preprint).Google Scholar
[2]Feng, K. and Yin, L. ‘Maximal independent system of units in cyclotomic function fields’, Sci. China Ser. A. 34 (1991), 908–919.Google Scholar
[3]Greither, C., ‘Improving Ramachandra's and Levesque's unit index’, in Number theory (Ottawa, ON, 1996) (Amer. Math. Soc., Providence, RI), pp. 111–120.Google Scholar
[4]Harrop, F., ‘Circular units of function fields’, Trans. Amer. Math. Soc. 341 (1994), 405–421.Google Scholar
[5]Kučera, R., ‘A generalization of a unit index of Greither’, Acta Math. Inform. Univ. Ostraviensis 6 (1998), 149–154.Google Scholar
[6]Levesque, C., ‘On improving Ramachadra's unit index’, in Number theory (Banff, Alberta) 1988 (W. de Gruyter, Berlin, 1990), pp. 325–338.Google Scholar
[7]Ramachadra, K., ‘On the units of cyclotomic fields’, Acta Arith. XII (1966), 165–173.CrossRefGoogle Scholar
[8]Washington, L., Introduction to cyclotomic fields (Springer-Verlag, Berlin, Heidelberg, New York, 1997).Google Scholar