Groups not acting on manifolds

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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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Dynamical Systems, Differential Geometry, Group Theory, 37C85; 53C24

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http://salesiana.dossiersoluciones.com/handle/123456789/160896

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.0875
 http://arxiv.org/abs/0801.0875

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arXiv