Cohomology Ring of the Orbit Space of Certain Free _{}-actions

T. In this paper, we consider actions of G = Zp (with p an odd prime) on spaces X which are of cohomology type (0, 0) (i.e., have the mod-p cohomology of the one-point union of an n-sphere, a 2n-sphere and a a 3n-sphere, n odd). If X is not totally non-homologous to zero in XG we determine the fixed set, give examples of all possibilities for the fixed set and compute the cohomology ring structure of the orbit space in the case where G acts freely. In [4], we considered fixed sets for related spaces, when X is totally non-homologous to zero in XG.