10 citations · 54 across the 17 of their papers we have counts for
18 papers
Bounded Generation for
Nir Avni, Chen Meiri
Let be an order in a division algebra over a number field. We prove, under some conditions, that is boundedly generated by elementary matrices.
Conjugacy width in uniform higher rank arithmetic groups of orthogonal type
Nir Avni, Chen Meiri
We study widths of conjugacy classes in anisotropic higher rank -arithmetic groups of orthogonal type. Assuming the GRH, we prove that many such groups have bounded conjugacy wi…
Commutators in and Markoff surfaces I
Amit Ghosh, Chen Meiri, Peter Sarnak
We show that the commutator equation over satisfies a profinite local to global principle, while it can fail with infinitely many exceptions for $ \math…
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…
Words have bounded width in
Nir Avni, Chen Meiri
We prove two results about width of words in . The first is that, for every , there is a constant such that the width of any word in $SL_n(\mathb…
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…
The Markoff Group of Transformations in Prime and Composite Moduli
Chen Meiri, Doron Puder, Dan Carmon
The Markoff group of transformations is a group of affine integral morphisms, which is known to act transitively on the set of all positive integer solutions to the equation $x…
Generating pairs for finite index subgroups of sl(n, z)
Chen Meiri
Let . We positively answer a question of Lubotzky and prove that every finite index subgroup of SL(n, Z) contains a finite index subgroup which is generated by two element…
Maximal subgroups of SL(n, Z)
Tsachik Gelander, Chen Meiri
We establish the existence of maximal subgroups of various diferent natures in SL(n,Z). In particular, we prove that there are continuously many maximal subgroups, we provide a max…
Higher rank arithmetic groups which are not invariably generated
Tsachik Gelander, Chen Meiri
It was conjectured in [KLS14] that for arithmetic groups, Invariable Generation is equivalent to the Congruence Subgroup Property. In view of the famous Serre conjecture this would…
On the non-amenability of the reflective quotient \Rmnum{1}: The rational case
Chen Meiri
Let O(f,Z) be the integral orthogonal group of an integral quadratic form f of signature (n,1). Let R(f,Z) be the subgroup of O(f,Z) generated by all hyperbolic reflections. Vinber…
Hyperbolic monodromy groups for the hypergeometric equation and Cartan involutions
Elena Fuchs, Chen Meiri, Peter Sarnak
We give a criterion which ensures that a group generated by Cartan involutions in the automorph group of a rational quadratic form of signature (n-1,1) is "thin", namely it is of i…
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…
On conjugacy growth of linear groups
Emmanuel Breuillard, Yves de Cornulier, Alexander Lubotzky +1
We investigate the conjugacy growth of finitely generated linear groups. We show that finitely generated non-virtually-solvable subgroups of GL_d have uniform exponential conjugacy…
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…
Sieve methods in group theory II: The Mapping Class Group
Alexander Lubotzky, Chen Meiri
We prove that the set of non-pseudo-Anosov elements in the Torelli group is exponentially small.