On a certain subideal of the Stickelberger ideal of a cyclotomic field
Radan Kučera (1986)
Archivum Mathematicum
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Displaying similar documents to “Stickelberger ideal of a compositum of a real bicyclic field and a quadratic imaginary field”
On a certain subideal of the Stickelberger ideal of a cyclotomic 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,...
On Washington group of circular units of some composita of quadratic fields
Michal Bulant (2005)
Mathematica Slovaca
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Annihilators of the class group of a compositum of quadratic fields
Jan Herman (2013)
Archivum Mathematicum
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This paper is devoted to a construction of new annihilators of the ideal class group of a tamely ramified compositum of quadratic fields. These annihilators are produced by a modified Rubin’s machinery. The aim of this modification is to give a stronger annihilation statement for this specific type of fields.