In this thesis we define the reduced power operations for motivic co-homology of a scheme of finite type over a field of characteristic zero, assuming that it contains appropriate roots of unity. In topology one constructs such operations by first defining the total operation and then retrieving the individual ones via the Künneth formula. The same approach works in motivic context. We verify all the standard properties of the operations restricted to smooth quasi-projective schemes. We compare our operations with those defined by P. Brosnan for Chow groups and those defined by V. Voevodsky in the framework of motivic homotopy category.
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