Linear actions of $\mathbb{Z}/p\times \mathbb{Z}/p$ on $S^{2n-1}\times S^{2n-1}$

Jim Fowler, Courtney Thatcher

For an odd prime $p$, we consider free actions of $(\mathbb{Z}/p{)}^2$ on $S^{2n-1}\times S^{2n-1}$ given by linear actions of $(\mathbb{Z}/p{)}^2$ on ${\mathbb{R}}^{4n}$. Simple example…