Greenberg's conjecture and cyclotomic towers

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dc.creatorMarshall, David C.
dc.date2001-09-25
dc.date.accessioned2026-07-07T04:43:35Z
dc.date.available2026-07-07T04:43:35Z
dc.descriptionWe describe Greenberg's pseudo-null conjecture, and prove a result describing conditions under which the pseudo-null conjecture for a number field $K$ implies the conjecture for finite extensions of $K$. We then apply the result to the cyclotomic $\mathbb{Z}_p$-tower above a cyclotomic field of prime roots of unity, verifying the conjecture for a large class of cyclotomic fields.
dc.identifierhttps://arxiv.org/abs/math/0109229
dc.identifierhttp://arxiv.org/abs/math/0109229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62284
dc.subjectNumber Theory
dc.titleGreenberg's conjecture and cyclotomic towers
dc.typetext

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