2 papers
math.AT2003
Fixity and Free Group Actions on Products of Spheres
Alejandro Adem, James F. Davis, Ozgun Unlu
We use the notion of fixity for representations of finite groups to construct free and smooth actions on products of spheres. In particular we show that a finite p-group (for p>3)…
math.GT1998
S_3 x S_3 acts freely on S^3 x S^3
James F. Davis
A free action of the direct product of two copies of the symmetric group on 3 elements on the cartesian product of two copies of the 3-sphere is constructed. This nonlinear action…