We complete the quasi-isometric classification of irreducible lattices in semisimple Lie groups over nondiscrete locally compact fields of characteristic zero by showing that any quasi-isometry of a rank one -arithmetic lattice in a semisimple Lie group over nondiscrete locally compact fields of characteristic zero is a finite distance in the sup-norm from a commensurator.
Cite this article
Kevin Wortman, Quasi-isometries of rank one -arithmetic lattices. Groups Geom. Dyn. 5 (2011), no. 4, pp. 787–803DOI 10.4171/GGD/148