The p-adic closure of a subgroup of rational points on a commutative algebraic group

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dc.creatorPoonen, Bjorn
dc.date2007-11-30
dc.date.accessioned2026-07-07T08:46:31Z
dc.date.available2026-07-07T08:46:31Z
dc.descriptionLet G be a commutative algebraic group over Q. Let Gamma be a subgroup of G(Q) contained in the union of the compact subgroups of G(Q_p). We formulate a guess for the dimension of the closure of Gamma in G(Q_p), and show that its correctness for certain tori is equivalent to Leopoldt's conjecture.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0711.5028
dc.identifierhttp://arxiv.org/abs/0711.5028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143274
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14L10; 11E95, 14G05, 14G20, 22E35
dc.titleThe p-adic closure of a subgroup of rational points on a commutative algebraic group
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