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arXiv:0802.0185 [math.GR]AbstractReferencesReviewsResources

Free Groups in Lattices

Lewis Bowen

Published 2008-02-01, updated 2008-11-04Version 5

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 \Gamma < G any lattice, then up to a small perturbation and passing to a finite index subgroup, F is a subgroup of \Gamma. If G/\Gamma is noncompact then we require additional hypotheses that include G=SO(n,1).

Comments: This version corrects a few typos. Version 4 is a major rewrite over version 3
Categories: math.GR, math.GT
Subjects: 20E07, 20F65, 20F67, 22D40, 20E05
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