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In this talk we study the pair (K,G) where K is an algebraically closed field and G is a multiplicative subgroup of K* with the Mann property. The main examples of this property comes from number theory. The reason of the naming like this is that H. Mann proved that the roots of unity has the Mann property. The theory of the pair is axiomatised by L. van den Dries and A. Günaydın and they prove that the pair (K,G) is stable. We first characterize the independence in the pair and this allows us to characterize the definable groups in (K,G).