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Preprint Number 1297

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1297. Nir Avni, Alexander Lubotzky, and Chen Meiri
First order rigidity of non-uniform higher rank arithmetic lattices

Submission date: 8 September 2017


If Γ is an irreducible non-uniform higher-rank characteristic zero arithmetic lattice (for example, SL_n(Z), n ≥ 3) and Λ is a finitely generated group that is elementarily equivalent to Γ, then Λ is isomorphic to Γ.

Mathematics Subject Classification: 20F10, 20F70, 22E40, 03C65

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Full text arXiv 1709.02766: pdf, ps.

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