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Quasi-isometries of rank one S-arithmetic lattices

Kevin Wortman
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Abstract

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.

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Kevin Wortman. 2008-01-08. Quasi-isometries of rank one S-arithmetic lattices. https://arxiv.org/abs/math/0504207

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