Locally quasiconvex small-cancellation groups
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- by Jonathan P. McCammond and Daniel T. Wise PDF
- Trans. Amer. Math. Soc. 360 (2008), 237-271 Request permission
Abstract:
In this article we prove several results about the local quasiconvexity behavior of small-cancellation groups. In addition to strengthening our previously obtained positive results, we also describe several families of negative examples. Also, as the strength of the assumed small-cancellation conditions increases, the gap between our positive results and our counterexamples narrows. Finally, as an additional application of these techniques, we include similar results and counterexamples for Coxeter groups.References
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Additional Information
- Jonathan P. McCammond
- Affiliation: Department of Mathematics, Universtiy of California, Santa Barbara, Santa Barbara, California 93106
- MR Author ID: 311045
- Email: jon.mccammond@math.ucsb.edu
- Daniel T. Wise
- Affiliation: Department of Mathematics, McGill University, Montreal, Quebec, Canada H3A 2K6
- MR Author ID: 604784
- ORCID: 0000-0003-0128-1353
- Email: wise@math.mcgill.ca
- Received by editor(s): April 26, 2004
- Received by editor(s) in revised form: October 7, 2005
- Published electronically: July 23, 2007
- Additional Notes: The first author was supported under NSF grants DMS-99781628 and DMS-0101506
The second author was supported by grants from NSERC and NATEQ - © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 237-271
- MSC (2000): Primary 20F06, 20F67, 57M07
- DOI: https://doi.org/10.1090/S0002-9947-07-04206-7
- MathSciNet review: 2342002