Hambleton, IanÜnlü, Özgün2016-02-082016-02-0820100002-9947http://hdl.handle.net/11693/22307Let p be an odd prime. We construct a non-abelian extension G of S 1 by Z/p × Z/p, and prove that any finite subgroup of G acts freely and smoothly on S2p-1 × S2p-1. In particular, for each odd prime p we obtain free smooth actions of infinitely many non-metacyclic rank two p-groups on S2p-1 × S2p-1. These results arise from a general approach to the existence problem for finite group actions on products of equidimensional spheres.EnglishArticle10.1090/S0002-9947-09-05039-9