First order rigidity of non-uniform higher rank arithmetic groups

Nir Avni; Alexander Lubotzky; Chen Meiri

doi:https://doi.org/10.1007/s00222-019-00866-5

First order rigidity of non-uniform higher rank arithmetic groups

Nir Avni, Alexander Lubotzky, Chen Meiri

The Hebrew University of Jerusalem, Technion - Israel Institute of Technology

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

Abstract

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

Original language	English
Pages (from-to)	219-240
Number of pages	22
Journal	Inventiones Mathematicae
Volume	217
Issue number	1
DOIs	https://doi.org/10.1007/s00222-019-00866-5
State	Published - Jul 2019

All Science Journal Classification (ASJC) codes

General Mathematics

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

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

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

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AU - Lubotzky, Alexander

AU - Meiri, Chen

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

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U2 - https://doi.org/10.1007/s00222-019-00866-5

DO - https://doi.org/10.1007/s00222-019-00866-5

M3 - مقالة

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EP - 240

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 1

ER -

First order rigidity of non-uniform higher rank arithmetic groups

Abstract

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