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- W3047013350 abstract "Let $Gamma$ be a centerless irreducible higher rank arithmetic lattice in characteristic zero. We prove that if $Gamma$ is either non-uniform or is uniform of orthogonal type and dimension at least 9, then $Gamma$ is bi-interpretable with the ring $mathbb{Z}$ of integers. It follows that the first order theory of $Gamma$ is undecidable, that all finitely generated subgroups of $Gamma$ are definable, and that $Gamma$ is characterized by a single first order sentence among all finitely generated groups." @default.
- W3047013350 created "2020-08-10" @default.
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- W3047013350 date "2020-08-04" @default.
- W3047013350 modified "2023-10-14" @default.
- W3047013350 title "On the model theory of higher rank arithmetic groups" @default.
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- W3047013350 doi "https://doi.org/10.48550/arxiv.2008.01793" @default.
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