Divergence in right-angled Coxeter groups

Dani, P. and Thomas, A. (2015) Divergence in right-angled Coxeter groups. Transactions of the American Mathematical Society, 367(5), pp. 3549-3577. (doi: 10.1090/S0002-9947-2014-06218-1)

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Publisher's URL: http://dx.doi.org/10.1090/S0002-9947-2014-06218-1

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Thomas, Dr Anne
Authors: Dani, P., and Thomas, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Transactions of the American Mathematical Society
Publisher:American Mathematical Society
ISSN:0002-9947
ISSN (Online):1088-6850
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