Compactification l-adique de R

Details Compactification l-adique de R Compactification l-adique de R

2007-12-18

arxiv.org/abs/0712.2998v2

Mathematics

Number Theory

Scientific paper

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.

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