Some examples of separable convex-cocompact subgroups

Mark Hagen; Alessandro Sisto

doi:10.1112/blms.12848

Some examples of separable convex-cocompact subgroups

Mark Hagen
, Alessandro Sisto

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	2242-2257
Number of pages	16
Journal	Bulletin of the London Mathematical Society
Volume	55
Issue number	5
Early online date	6 May 2023
DOIs	https://doi.org/10.1112/blms.12848
Publication status	Published - Oct 2023

Keywords

math.GR
math.GT

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10.1112/blms.12848Licence: CC BY

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© 2023 The Authors. Bulletin of the London Mathematical Society is copyright © London Mathematical Society. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
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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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Some examples of separable convex-cocompact subgroups

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