Coincidence theorems for maps of free -spaces

Let us consider Z p , p a prime number, acting freely on Hausdorff paracompact topological space X and let Y be a k-dimensional metrizable space (or k-dimensional CW-complex). In this paper, by using the genus of X; gen ( X , Z p ) , we prove a Z p -coincidence theorem for maps f : X → Y . Such theorem generalizes the main theorem proved by Aarts, Fokkink and Vermeer (1998) [1].