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

Einstein Institute of Mathematics

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

17 Scopus citations

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

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© Springer-Verlag GmbH Germany, part of Springer Nature 2019.

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First order rigidity of non-uniform higher rank arithmetic groups

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