First order rigidity of non-uniform higher rank arithmetic groups

Nir Avni, Alexander Lubotzky, Chen Meiri*

*Corresponding author for this work

Research output: Contribution to journalArticle

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 languageEnglish (US)
JournalInventiones Mathematicae
DOIs
StatePublished - Jan 1 2019

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Arithmetic Groups
Finitely Generated Group
Rigidity
Isomorphic
First-order
Zero

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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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",
year = "2019",
month = "1",
day = "1",
doi = "10.1007/s00222-019-00866-5",
language = "English (US)",
journal = "Inventiones Mathematicae",
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First order rigidity of non-uniform higher rank arithmetic groups. / Avni, Nir; Lubotzky, Alexander; Meiri, Chen.

In: Inventiones Mathematicae, 01.01.2019.

Research output: Contribution to journalArticle

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T1 - First order rigidity of non-uniform higher rank arithmetic groups

AU - Avni, Nir

AU - Lubotzky, Alexander

AU - Meiri, Chen

PY - 2019/1/1

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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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