On the Iwasawa invariants of certain -extensions
J. Carroll, H. Kisilevsky (1983)
Compositio Mathematica
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J. Carroll, H. Kisilevsky (1983)
Compositio Mathematica
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Michael J. Razar (1977)
Compositio Mathematica
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Joseph Carroll, H. Kisilevsky (1981)
Acta Arithmetica
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Kuniaki Horie (1990)
Compositio Mathematica
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Andrea Bandini, Fabio Caldarola (2015)
Acta Arithmetica
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Let K/k be a ℤₚ-extension of a number field k, and denote by kₙ its layers. We prove some stabilization properties for the orders and the p-ranks of the higher Iwasawa modules arising from the lower central series of the Galois group of the maximal unramified pro-p-extension of K (resp. of the kₙ).
Ibadula, Denis (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Kiyoaki Iimura (1979)
Acta Arithmetica
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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...
Massimo Bertolini (1995)
Compositio Mathematica
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