2 papers
math.GR2025
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.
math.GR2025
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…