${\mathbb{Z}}_{/p}\times {\mathbb{Z}}_{/p}$ actions on $S^n\times S^n$

Jim Fowler, Courtney Thatcher

We determine the homotopy type of quotients of $S^n\times S^n$ by free actions of ${\mathbb{Z}}_{/p}\times {\mathbb{Z}}_{/p}$ where $2p>n+3$. Much like free ${\mathbb{Z}}_{/p}$ actions, t…