Periodic points of self-maps of a space with π1X = Zps

Abstract The crucial homotopy invariants in Nielsen periodic point theory are the numbers: NPn(f), which is a lower bounds of the number of periodic points of length equal n, and NFn(f) a lower bounds of the number of periodic points of length dividing n. Here f : X → X a self-map of a compact polyhedron. We derive the formulae of these invariants for self-map of the polyhedron with the fundamental group π1M = Zps and all irreducible classes are essential.