Free Actions of Extraspecial $p$-Groups on $S^n\times S^n$

Ian Hambleton, Ozgun Unlu

Let $p$ be an odd regular prime, and let $G_p$ denote the extraspecial $p$--group of order $p^3$ and exponent $p$. We show that $G_p$ acts freely and smoothly on $S^{2p-1} \times…