Groups, Geometry, and Dynamics


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Volume 5, Issue 4, 2011, pp. 787–803
DOI: 10.4171/GGD/148

Published online: 2011-09-09

Quasi-isometries of rank one S-arithmetic lattices

Kevin Wortman

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 S-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.

Keywords: Quasi-isometry, arithmetic groups

Wortman Kevin: Quasi-isometries of rank one S-arithmetic lattices. Groups Geom. Dyn. 5 (2011), 787-803. doi: 10.4171/GGD/148