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arXiv · 0802.0185

Free Groups in Lattices

Lewis Bowen
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Abstract

Let G be any locally compact, unimodular, metrizable group. The main result of this paper, roughly stated, is that if F<G is any finitely generated free group and Γ< G any lattice, then up to a small perturbation and passing to a finite index subgroup, F is a subgroup of Γ. If G/Γis noncompact then we require additional hypotheses that include G=SO(n,1).

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Lewis Bowen. 2008-11-04. Free Groups in Lattices. https://doi.org/10.2140/gt.2009.13.3021

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