The divergence of the special linear group over a function ring

Abstract

We compute the divergence of the finitely generated group SLn(O_S), where S is a finite set of valuations of a function field, and O_S is the corresponding ring of S-integer points. As an application, we deduce that all its asymptotic cones are without cut-points.

The argument in section 4 has been modified

References in corpus (2)

• Dimension of asymptotic cones of Lie groups
• Twin building lattices do not have asymptotic cut-points