Abstract
We characterise limits of dihedral groups in the space of finitely generated marked groups. We also describe the topological closure of dihedral groups in the space of marked groups on a fixed number of generators.
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Acknowledgments
I am particularly grateful to Yves Stalder, who considerably improved the proof of Theorem B. I thank Pierre de La Harpe, Goulnara Arzhantseva and Catriona Maclean for their valuable comments on previous versions of this article. I also thank Thierry Coulbois and Vincent Guirardel for stimulating discussions.
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This work was supported by the Swiss National Science Foundation Grant \({\sharp}\) PP002-68627.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Guyot, L. Limits of dihedral groups. Geom Dedicata 147, 159–171 (2010). https://doi.org/10.1007/s10711-009-9447-1
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DOI: https://doi.org/10.1007/s10711-009-9447-1