6 citations · 11 across the 4 of their papers we have counts for
6 papers
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…
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…
Some Orbits of Free Words that are Determined by Measures on Finite Groups
Liam Hanany, Chen Meiri, Doron Puder
Every word in a free group induces a probability measure on every finite group in a natural manner. It is an open problem whether two words that induce the same measure on ever…
First order rigidity of non-uniform higher rank arithmetic lattices
Nir Avni, Alexander Lubotzky, Chen Meiri
If is an irreducible non-uniform higher-rank characteristic zero arithmetic lattice (for example, , ) and is a finitely generated group that is…
Sieve methods in group theory I: Powers in Linear groups
Alexander Lubotzky, Chen Meiri
A general sieve method for groups is formulated. It enables one to "measure" subsets of a finitely generated group. As an application we show that if is a finitely generated no…
Sieve methods in group theory \Rmnum{3}: $\aut(F_n)$
Alexander Lubotzky, Chen Meiri
Let $π:\aut(F_n)\rightarrow \aut(\Z^n)$ be the epimorphism induced by the isomorphism and define . We prove that the subset of $\mathcal…