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This work consists of two parts. In the rst one, we develop an equivariant Nielsen root theory for G-maps. We consider equivariant maps f : X → Y between Hausdor , connected, normal, locally path connected and semilocally simply connected G-spaces, where G is a topological group. In the second part, we study the question of the realization of G-Nielsen root number when it is zero.

Teoria de Nielsen de raizes para aplicações equivariantes