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- Title
Über relativ-lnvariante Kreiseinheiten und Stickelberger-Elemente.
- Authors
Greither, Cornelius
- Abstract
We consider an extension E ⊂ K of absolutely abellan number fields and the corresponding groups of circular units C ⊂ C in the sense of Sinnott. In this paper we consider the question: Is every Gal( K/ E)-invarlant element of C already in C ? This has been answered in the affirmative recently by Gold and Kirn in the case that both E and K are cyclotomlc fields. We show that the question has an affirmative answer if K is cyclic over ℚ, and that the answer in general is negative. There is an analogous question concerning Stickelberger ideals (the inclusion map now being replaced by the corestriction map), and the answer to that question is shown to be exactly the same as to the first one.
- Publication
Manuscripta Mathematica, 1993, Vol 80, Issue 1, p27
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/BF03026535