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Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces
Author(s):
Alex
Eskin
Journal:
J. Amer. Math. Soc.
11
(1998),
321-361.
MSC (1991):
Primary 22E40, 20F32
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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:
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.
Copyright of article:
Copyright
1998,
American Mathematical Society
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