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Groups acting on quasiconvex spaces and translation numbers


Author: Aleksandar Poleksic
Journal: Proc. Amer. Math. Soc. 128 (2000), 3177-3183
MSC (2000): Primary 20F65
Published electronically: June 6, 2000
MathSciNet review: 1694875
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Abstract:

We prove that groups acting geometrically on $\delta$-quasiconvex spaces contain no essential Baumslag-Solitar quotients as subgroups. This implies that they are translation discrete, meaning that the translation numbers of their nontorsion elements are bounded away from zero.


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Additional Information

Aleksandar Poleksic
Affiliation: Cold Spring Harbor Laboratory, P.O. Box 100, 1 Bungtown Road, Cold Spring Harbor, New York 11724
Email: poleksic@cshl.org

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05537-4
Received by editor(s): January 5, 1999
Published electronically: June 6, 2000
Additional Notes: This paper forms a part of the author’s Ph.D. dissertation written under the direction of P. Bowers at Florida State University.
Communicated by: Stephen D. Smith
Article copyright: © Copyright 2000 American Mathematical Society