Divergence in right-angled Coxeter groups
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- by Pallavi Dani and Anne Thomas PDF
- Trans. Amer. Math. Soc. 367 (2015), 3549-3577 Request permission
Abstract:
Let $W$ be a $2$-dimensional right-angled Coxeter group. We characterise such $W$ with linear and quadratic divergence, and construct right-angled Coxeter groups with divergence polynomial of arbitrary degree. Our proofs use the structure of walls in the Davis complex.References
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Additional Information
- Pallavi Dani
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- Anne Thomas
- Affiliation: School of Mathematics and Statistics, University of Glasgow, 15 University Gardens, Glasgow G12 8QW, United Kingdom
- Received by editor(s): February 13, 2013
- Received by editor(s) in revised form: June 12, 2013
- Published electronically: October 1, 2014
- Additional Notes: The first author was supported in part by Louisiana Board of Regents Support Fund Contract LEQSF(2011-14)-RD-A-06 and NSF Grant No. DMS-1207868
This research of the second author was supported in part by ARC Grant No. DP110100440, and the second author was also supported in part by an Australian Postdoctoral Fellowship - © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 3549-3577
- MSC (2010): Primary 20F65; Secondary 20F55
- DOI: https://doi.org/10.1090/S0002-9947-2014-06218-1
- MathSciNet review: 3314816