Cores for quasiconvex actions
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- by Michah Sageev and Daniel T. Wise PDF
- Proc. Amer. Math. Soc. 143 (2015), 2731-2741 Request permission
Abstract:
We prove that any full relatively quasiconvex subgroup of a relatively hyperbolic group acting on a CAT(0) cube complex has a convex cocompact core. We give an application towards separability of quasiconvex subgroups of the fundamental group of a special cube complex.References
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Additional Information
- Michah Sageev
- Affiliation: Department of Mathematics, Technion, Haifa 32000, Israel
- MR Author ID: 366122
- Email: sageevm@techunix.technion.ac.il
- Daniel T. Wise
- Affiliation: Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada H3A 0B9
- MR Author ID: 604784
- ORCID: 0000-0003-0128-1353
- Email: wise@math.mcgill.ca
- Received by editor(s): March 13, 2012
- Received by editor(s) in revised form: August 7, 2012, and April 15, 2013
- Published electronically: February 26, 2015
- Additional Notes: The first author’s research was supported by ISF grant #530/11
The second author’s research was supported by NSERC - Communicated by: Kevin Whyte
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2731-2741
- MSC (2010): Primary 20F67
- DOI: https://doi.org/10.1090/S0002-9939-2015-12297-6
- MathSciNet review: 3336599