COHOMOLOGY RING OF THE ORBIT SPACE OF CERTAIN FREE Z(P)-ACTIONS

In this paper, we consider actions of G = Z(p) (with p an odd prime) o n spaces X which are of cohomology type (0, 0) (i.e., have the mod-p c ohomology of the one-point union of an n-sphere, a 2n-sphere and a a 3 n-sphere, n odd). If X is not totally non-homologous to zero in X(G) w e 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 X(G).