Abstract
We prove that if Γ is an arithmetic subgroup of a non-compact linear semi-simple groupG such that the associated simply connected algebraic group over ℚ has the so-called congruence subgroup property, then Γ contains a finitely generated profinitely dense free subgroup. As a corollary we obtain af·g·p·d·f subgroup of SL n (ℤ) (n ≧ 3. More generally, we prove that if Γ is an irreducible arithmetic non-cocompact lattice in a higher rank group, then Γ containsf·g·p·d·f groups.
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Partially supported by GIF grant No. G-454-213.06/95
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Soifer, G.A., Venkataramana, T.N. Finitely generated profinitely dense free groups in higher rank semi-simple groups. Transformation Groups 5, 93–100 (2000). https://doi.org/10.1007/BF01237181
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DOI: https://doi.org/10.1007/BF01237181