Some examples of separable convex-cocompact subgroups
Group Theory
2023-03-27 v2 Geometric Topology
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.
Cite
@article{arxiv.2206.11084,
title = {Some examples of separable convex-cocompact subgroups},
author = {Mark Hagen and Alessandro Sisto},
journal= {arXiv preprint arXiv:2206.11084},
year = {2023}
}
Comments
14 pages, 4 figures. Revised following referee reports. To appear in Bull. Lond. Math. Soc