Some non-semi-simple Iwasawa modules
H. Kisilevsky (1983)
Compositio Mathematica
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H. Kisilevsky (1983)
Compositio Mathematica
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Joseph Carroll, H. Kisilevsky (1981)
Acta Arithmetica
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Olaf Neumann (1977)
Acta Arithmetica
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Gary Cornell, Michael I. Rosen (1984)
Compositio Mathematica
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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...
Michael J. Razar (1977)
Compositio Mathematica
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Kuniaki Horie (1990)
Compositio Mathematica
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