actions on complexes with three non-trivial cells

In this paper, we study Z 2 actions on a cell complex X having its cohomology ring isomorphic to that of the wedge sum P 2 ( n ) ∨ S 3 n or S n ∨ S 2 n ∨ S 3 n . We determine the possible fixed point sets depending on whether or not X is totally non-homologous to zero in X Z 2 and give examples realizing all possible cases.