Coincidence theorems for maps of free Zp-spaces

Let us consider Zp, 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,Zp), we prove a Zp-coincidence theorem for maps f:X→Y. Such theorem generalizes the main theorem proved by Aarts, Fokkink and Vermeer (1998) [1].