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Locally quasiconvex small-cancellation groups
Author(s):
Jonathan
P.
McCammond;
Daniel
T.
Wise
Journal:
Trans. Amer. Math. Soc.
360
(2008),
237-271.
MSC (2000):
Primary 20F06, 20F67, 57M07
Posted:
July 23, 2007
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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.
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Additional Information:
Jonathan
P.
McCammond
Affiliation:
Department of Mathematics, Universtiy of California, Santa Barbara, Santa Barbara, California 93106
Email:
jon.mccammond@math.ucsb.edu
Daniel
T.
Wise
Affiliation:
Department of Mathematics, McGill University, Montreal, Quebec, Canada H3A 2K6
Email:
wise@math.mcgill.ca
DOI:
10.1090/S0002-9947-07-04206-7
PII:
S 0002-9947(07)04206-7
Keywords:
Coherent,
locally quasiconvex
Received by editor(s):
April 26, 2004
Received by editor(s) in revised form:
October 7, 2005
Posted:
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 of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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