Greenberg's conjecture and units in multiple Z_p-extensions

dc.creatorMcCallum, William G.
dc.date2000-07-13
dc.date.accessioned2026-07-07T04:36:36Z
dc.date.available2026-07-07T04:36:36Z
dc.descriptionIn this paper we prove Greenberg's pseudo-null conjecture for the field of p-th roots of unity in the case that p exactly divides the class number and the index of the global units in the local units. We also generalize to the case of multiple Z_p-extensions a theorem of Iwasawa on the Kummer extension of the cyclotomic Z_p-extension generated by p-power roots of units .
dc.identifierhttps://arxiv.org/abs/math/0007209
dc.identifierhttp://arxiv.org/abs/math/0007209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59656
dc.subjectNumber Theory
dc.titleGreenberg's conjecture and units in multiple Z_p-extensions
dc.typetext

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