2007/12/18 by Jean-François Jaulent, Jaulent, Jean-François
Mathematics · #22C05 54F15 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:22C05 #msc:54F15
paper · pdf · doi:10.48550/arxiv.0712.2998
arxiv created 2008/01/06 · arxiv updated 2009/12/01
We 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.