Cyclotomic units and Stickelberger ideals of global function fields

Ahn, Jaehyun; Bae, Sunghan; Jung, Hwanyup

doi:10.1090/S0002-9947-03-03245-8

Cyclotomic units and Stickelberger ideals of global function fields
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by Jaehyun Ahn, Sunghan Bae and Hwanyup Jung PDF

Trans. Amer. Math. Soc. 355 (2003), 1803-1818 Request permission

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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