We prove that, for an odd prime, every finite –group of rank acts freely on a finite complex homotopy equivalent to a product of three spheres.
"Constructing free actions of $p$–groups on products of spheres." Algebr. Geom. Topol. 11 (5) 3065 - 3084, 2011. https://doi.org/10.2140/agt.2011.11.3065