Reflection subgroups of odd-angled Coxeter groups

Felikson, A.; Fintzen, J.; Tumarkin, P.

doi:10.1016/j.jcta.2014.04.008

Reflection subgroups of odd-angled Coxeter groups

Felikson, A.; Fintzen, J.; Tumarkin, P.

Authors

Professor Anna Felikson anna.felikson@durham.ac.uk
Professor

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
Electronic ISSN	1096-0899
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.
Public URL	https://durham-repository.worktribe.com/output/1488988

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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.