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math.GR2020
Is being a higher rank lattice a first order property?
Nir Avni, Chen Meiri
We show that there is a sentence in the first order language of groups such that a finitely generated group satisfies if and only if is isomorphic to a group of the…
math.GR2020★ 6 cited
On the model theory of higher rank arithmetic groups
Nir Avni, Chen Meiri
Let be a centerless irreducible higher rank arithmetic lattice in characteristic zero. We prove that if is either non-uniform or is uniform of orthogonal type and dimension…