Rank Three p-Group Actions on Products of Spheres

Abstract

Let p be an odd prime. We prove that every rank three p-group acts freely and smoothly on a product of three spheres. To construct this action, we first prove a generalization of a theorem of L\" uck and Oliver on constructions of G-equivariant vector bundles. We also give some other applications of this generalization.

Minor revision. To appear in Bulletin of the London Mathematical Society

References in corpus (1)

• Constructing free actions of p-groups on products of spheres