2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145283We construct a compact topological group Rl which contains both the real additive group R and the l-adic one Ql (for a given prime number l) as dense subgroups; thus we study some of its properties. This construction gives an arithmetic description of the so-called l-adic solenoid classically defined in terms of foliations.Number Theory22C05 54F15Compactification l-adique de Rtext