First order rigidity of non-uniform higher rank arithmetic groups

Nir Avni; Alexander Lubotzky; Chen Meiri

doi:10.1007/s00222-019-00866-5

First order rigidity of non-uniform higher rank arithmetic groups

Nir Avni, Alexander Lubotzky, Chen Meiri^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

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

Original language	English (US)
Journal	Inventiones Mathematicae
DOIs	https://doi.org/10.1007/s00222-019-00866-5
State	Published - Jan 1 2019

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Mathematics(all)

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title = "First order rigidity of non-uniform higher rank arithmetic groups",

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

author = "Nir Avni and Alexander Lubotzky and Chen Meiri",

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AU - Avni, Nir

AU - Lubotzky, Alexander

AU - Meiri, Chen

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N2 - If Γ is an irreducible non-uniform higher-rank characteristic zero arithmetic lattice (for example SLn(Z), n≥ 3) and Λ is a finitely generated group that is elementarily equivalent to Γ , then Λ is isomorphic to Γ.

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

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JF - Inventiones Mathematicae

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First order rigidity of non-uniform higher rank arithmetic groups

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