Adhérence d'orbite et invariants.
Let be a commutative algebraic group defined over a number field . We consider the following question:Let be a positive integer and let . Suppose that for all but a finite number of primes of , we have for some . Can one conclude that there exists such that ?A complete answer for the case of the multiplicative group is classical. We study other instances and in particular obtain an affirmative answer when is a prime and is either an elliptic curve or a torus of small dimension...