Let M n and N n be n-dimensional closed smooth oriented Z p-manifolds where p is an odd prime and Zp is the cyclic group of order p. This paper determines necessary and sufficient conditions under which M n and N n are equivalent under a special equivariant cut and past equivalence.
The only invariants are (a) the Euler characteristics of the Zp -manifolds, (b) the Euler characteristics of the fixed point manifolds in each fixed point dimesnion with specified normal representations, and (c) the oriented Zp -stratified cobordism class of the Zp -manifolds.
