Cyclotomic Units and Class Groups in Z_p extensions of real abelian fields

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dc.creatorNuccio, Filippo A. E.
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:09:04Z
dc.date.available2026-07-07T12:09:04Z
dc.descriptionFor a real abelian field and for an odd prime p splitting in the field, we study a map between the p-parts of the class group and of the quotient of units modulo Cyclotomic Units, respectively, along the cyclotomic Z_p-extension of the field. We determine the kernel and the cokernel of this map assuming Greenberg's conjecture on the vanishing of the lambda-invariant of the extension.
dc.description19 pages, part of the author's PhD thesis
dc.identifierhttps://arxiv.org/abs/0812.0784
dc.identifierhttp://arxiv.org/abs/0812.0784
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209504
dc.subjectNumber Theory
dc.subject11R23, 11R29
dc.titleCyclotomic Units and Class Groups in Z_p extensions of real abelian fields
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