Geodesic
Quasi-isometries of rank one $S$-arithmetic lattices
Kevin Wortman1
1University of Utah, Salt Lake City, USA
Groups, geometry, and dynamics, Tome 5 (2011) no. 4, pp. 787-803

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DOI

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.
DOI : 10.4171/ggd/148
Classification : 20-XX, 00-XX
Mots-clés : Quasi-isometry, arithmetic groups

Kevin Wortman  1

1 University of Utah, Salt Lake City, USA 
Kevin Wortman. Quasi-isometries of rank one $S$-arithmetic lattices. Groups, geometry, and dynamics, Tome 5 (2011) no. 4, pp. 787-803. doi: 10.4171/ggd/148
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     year = {2011},
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     number = {4},
     doi = {10.4171/ggd/148},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/148/}
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