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Nielsen Methods and Groups Acting on Hyperbolic Spaces |
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| Authors: | Ilya Kapovich Richard Weidmann |
| Institution: | (1) Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana, IL, 61801, U.S.A.;(2) Fakultät Für Mathematik, Ruhr-Universität Bochum, 44780 Bochum, Germany |
| Abstract: | We show that for any n & in  there exists a constant C(n) such that any n-generated group G which acts by isometries on a  -hyperbolic space (with >0) is either free or has a nontrivial element with translation length at most C(n). |
| Keywords: | free groups group actions hyperbolic spaces Nielsen methods R-trees |
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