Quasi-isometries of rank one S-arithmetic lattices

Details Quasi-isometries of rank one S-arithmetic lattices Quasi-isometries of rank one S-arithmetic lattices

2005-04-11

arxiv.org/abs/math/0504207v2

Mathematics

Group Theory

21 pages

Scientific paper

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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