Detecting linear dependence by reduction maps
  We consider the local to global principle for detecting linear dependence of points in groups of the Mordell-Weil type. As applications of our general setting we obtain corresponding statements for Mordell-Weil groups of non{-}CM elliptic curves and some higher dimensional abelian varieties defined over number fields, and also for odd dimensional K-groups of number fields. 
Grzegorz Banaszak, Wojciech Gajda, Piotr Krason