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Groups acting on quasiconvex spaces and translation numbers
Authors:Aleksandar Poleksic
Institution:Cold Spring Harbor Laboratory, P.O. Box 100, 1 Bungtown Road, Cold Spring Harbor, New York 11724
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.

Keywords:
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