Professor Anna Felikson anna.felikson@durham.ac.uk
Professor
Reflection subgroups of odd-angled Coxeter groups
Felikson, A.; Fintzen, J.; Tumarkin, P.
Authors
J. Fintzen
Professor Pavel Tumarkin pavel.tumarkin@durham.ac.uk
Professor
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.
Citation
Felikson, A., Fintzen, J., & Tumarkin, P. (2014). Reflection subgroups of odd-angled Coxeter groups. Journal of Combinatorial Theory, Series A, 126, 92-127. https://doi.org/10.1016/j.jcta.2014.04.008
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 4, 2014 |
Online Publication Date | May 8, 2014 |
Publication Date | Aug 1, 2014 |
Deposit Date | Feb 26, 2013 |
Publicly Available Date | May 8, 2014 |
Journal | Journal of Combinatorial Theory, Series A |
Print ISSN | 0097-3165 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 126 |
Pages | 92-127 |
DOI | https://doi.org/10.1016/j.jcta.2014.04.008 |
Keywords | Coxeter group, Reflection subgroup, Davis complex. |
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Copyright 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.
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