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arXiv · 2206.11084

Some examples of separable convex-cocompact subgroups

Abstract

Reid asked whether all convex-cocompact subgroups of mapping class groups are separable. Using a construction of Manning-Mj-Sageev, we give examples of separable convex-cocompact subgroups that are free of arbitrary finite rank, while prior examples seem to all be virtually cyclic.

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Mark Hagen, Alessandro Sisto. 2022-06-22. Some examples of separable convex-cocompact subgroups. https://arxiv.org/abs/2206.11084

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