Free Actions on Products of Spheres at High Dimensions

Osman Berat Okutan, Ergun Yalcin

A classical conjecture in transformation group theory states that if $G=(\mathbb{Z}/p{)}^r$ acts freely on a product of $k$ spheres $S^{n_1}\times ...\times S^{n_k}$, then $r\le k$. We…