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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143274Let 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.7 pagesNumber TheoryAlgebraic Geometry14L10; 11E95, 14G05, 14G20, 22E35The p-adic closure of a subgroup of rational points on a commutative algebraic grouptext