Displaying similar documents to “On the Stickelberger Ideal and the Circular Units of an Abelian Field.”

The circular units and the Stickelberger ideal of a cyclotomic field revisited

Radan Kučera (2016)

Acta Arithmetica

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The aim of this paper is a new construction of bases of the group of circular units and of the Stickelberger ideal for a family of abelian fields containing all cyclotomic fields, namely for any compositum of imaginary abelian fields, each ramified only at one prime. In contrast to the previous papers on this topic our approach consists in an explicit construction of Ennola relations. This gives an explicit description of the torsion parts of odd and even universal ordinary distributions,...