Locally quasiconvex small-cancellation groups |
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Authors: | Jonathan P McCammond Daniel T Wise |
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Institution: | Department of Mathematics, Universtiy of California, Santa Barbara, Santa Barbara, California 93106 ; Department of Mathematics, McGill University, Montreal, Quebec, Canada H3A 2K6 |
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Abstract: | In this article we prove several results about the local quasiconvexity behavior of small-cancellation groups. In addition to strengthening our previously obtained positive results, we also describe several families of negative examples. Also, as the strength of the assumed small-cancellation conditions increases, the gap between our positive results and our counterexamples narrows. Finally, as an additional application of these techniques, we include similar results and counterexamples for Coxeter groups. |
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Keywords: | Coherent locally quasiconvex |
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