Groups not acting on manifolds
Dynamical Systems
2008-05-15 v3 Differential Geometry
Group Theory
Abstract
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.
Cite
@article{arxiv.0801.0875,
title = {Groups not acting on manifolds},
author = {David Fisher and Lior Silberman},
journal= {arXiv preprint arXiv:0801.0875},
year = {2008}
}
Comments
References added, minor changes