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Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces

Author: Alex Eskin
Journal: J. Amer. Math. Soc. 11 (1998), 321-361
MSC (1991): Primary 22E40, 20F32
MathSciNet review: 1475886
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Abstract: We compute the quasi-isometry group of an irreducible nonuniform lattice in a semisimple Lie group with finite center and no rank one factors, and show that any two such lattices are quasi-isometric if and only if they are commensurable up to conjugation.

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Additional Information

Alex Eskin
Affiliation: Department of Mathematics, University of Chicago, 5734 S.University Ave, Chicago, Illinois 60637
MR Author ID: 253227

Keywords: Lie groups, discrete subgroups, geometric group theory
Received by editor(s): October 28, 1996
Received by editor(s) in revised form: October 21, 1997
Additional Notes: The author was supported in part by an N.S.F. Postdoctoral Fellowship.
Article copyright: © Copyright 1998 American Mathematical Society