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Reflection subgroups of odd-angled Coxeter groups.

Felikson, A. and Fintzen, J. and Tumarkin, P. (2014) 'Reflection subgroups of odd-angled Coxeter groups.', Journal of combinatorial theory. Series A., 126 . pp. 92-127.

Abstract

We give a criterion for a finitely generated odd-angled Coxeter group to have a proper finite index subgroup generated by reflections. The answer is given in terms of the least prime divisors of the exponents of the Coxeter relations.

Item Type:Article
Keywords:Coxeter group, Reflection subgroup, Davis complex.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1016/j.jcta.2014.04.008
Publisher statement:NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Combinatorial Theory, Series A. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Combinatorial Theory, Series A, 126, 2014, 10.1016/j.jcta.2014.04.008.
Record Created:08 May 2014 12:35
Last Modified:05 Jun 2014 13:41

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