Groups not acting on manifolds

Details Groups not acting on manifolds Groups not acting on manifolds

2008-01-06

arxiv.org/abs/0801.0875v3

Mathematics

Dynamical Systems

References added, minor changes

Scientific paper

In this article we collect a series of observations that constrain actions of
many groups on compact manifolds. In particular, we show that "generic"
finitely generated groups have no smooth volume preserving actions on compact
manifolds while also producing many finitely presented, torsion free groups
with the same property.

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