S_3 x S_3 acts freely on S^3 x S^3
Abstract
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 3sphere is constructed. This nonlinear action is constructed using surgery. The action provides a counterexample to a conjecture of Lewis made in 1968.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 1998
 DOI:
 10.48550/arXiv.math/9806027
 arXiv:
 arXiv:math/9806027
 Bibcode:
 1998math......6027D
 Keywords:

 Geometric Topology;
 Algebraic Topology