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Quasi-isometries of rank one S-arithmetic lattices

Group Theory 2008-01-09 v2 Geometric Topology

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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Cite

@article{arxiv.math/0504207,
  title  = {Quasi-isometries of rank one S-arithmetic lattices},
  author = {Kevin Wortman},
  journal= {arXiv preprint arXiv:math/0504207},
  year   = {2008}
}

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21 pages