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If $$\Gamma $$Γ is an irreducible non-uniform higher-rank characteristic zero arithmetic lattice (for example $${{\,\mathrm{SL}\,}}_n({\mathbb {Z}})$$SLn(Z), $$n \ge 3$$n≥3) and $$\Lambda $$Λ is a finitely generated group that is elementarily… Click to show full abstract
If $$\Gamma $$Γ is an irreducible non-uniform higher-rank characteristic zero arithmetic lattice (for example $${{\,\mathrm{SL}\,}}_n({\mathbb {Z}})$$SLn(Z), $$n \ge 3$$n≥3) and $$\Lambda $$Λ is a finitely generated group that is elementarily equivalent to $$\Gamma $$Γ, then $$\Lambda $$Λ is isomorphic to $$\Gamma $$Γ.
Keywords:
higher rank;
uniform higher;
first order;
order rigidity;
non uniform
Journal Title: Inventiones mathematicae
Year Published: 2019
Link to full text (if available)
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Journal Title: Inventiones mathematicae
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!