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