S_3 x S_3 acts freely on S^3 x S^3

Details S_3 x S_3 acts freely on S^3 x S^3 S_3 x S_3 acts freely on S^3 x S^3

1998-06-06

arxiv.org/abs/math/9806027v1

Mathematics

Geometric Topology

Scientific paper

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 is constructed using surgery. The action provides a
counterexample to a conjecture of Lewis made in 1968.

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