Subject: A question for the List From: Yuri Turygin Date: Mon, 28 Mar 2005 20:42:51 -0500 (EST) To: dmd1@lehigh.edu CC: Yuri Turygin Dear Prof. Davis, could you subscribe me for your Algebraic Topology Discussion List? Thank you. I also have a question for the list: Let $p$ be a fixed odd prime. Suppose an elementary abelian group $G=(\mathbb Z_p)^k$ acts freely on a product of $k$ spheres $S^{n_1}\times...\times S^{n_k}$, where the n_i's are arbitrary. Does it follow then that all n_i's are odd? Yuri Turygin