Groups, Geometry, and Dynamics
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Published online: 2011-09-09
Quasi-isometries of rank one S-arithmetic latticesKevin 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