A generalization of a unit index of Greither
Radan Kučera (1998)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Displaying similar documents to “Annihilators of the class group of a compositum of quadratic fields”
A generalization of a unit index of Greither
On Washington group of circular units of some composita of quadratic fields
Michal Bulant (2005)
Mathematica Slovaca
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Class numbers of real cyclic number fields with small conductor
John Myron Masley (1978)
Compositio Mathematica
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Central and genus class fields and the Hasse norm theorem
Michael J. Razar (1977)
Compositio Mathematica
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Class groups of abelian fields, and the main conjecture
Cornelius Greither (1992)
Annales de l'institut Fourier
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This first part of this paper gives a proof of the main conjecture of Iwasawa theory for abelian base fields, including the case , by Kolyvagin’s method of Euler systems. On the way, one obtains a general result on local units modulo circular units. This is then used to deduce theorems on the order of -parts of -class groups of abelian number fields: first for relative class groups of real fields (again including the case ). As a consequence, a generalization of the Gras conjecture...