Linear actions of Z/px Z/p on S2n-1x S2n-1

For an odd prime $p$, we consider free actions of (Z/P)(2) on S(2n-1)x S2n-1 given by linear actions of (Z/P)(2) on R-4n. Simple examples include a lens space cross a lens space, but k-invariant calculations show that other quotients exist. Using the tools of Postnikov towers and surgery theory, the quotients are classified up to homotopy by the k-invariants and up to homeomorphism by the Pontrjagin classes. We will present these results and demonstrate how to calculate the k-invariants and the Pontrjagin classes from the rotation numbers.