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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

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
Email: eskin@math.uchicago.edu

DOI: http://dx.doi.org/10.1090/S0894-0347-98-00256-2
PII: S 0894-0347(98)00256-2
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