Reflection subgroups of odd-angled Coxeter groups

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:126

Article

Felikson, Anna¹  Fintzen, Jessica²  Tumarkin, Pavel¹ 

[1] Univ Durham, Dept Math Sci, Sci Labs, Durham DH1 3LE, England

[2] Harvard Univ, Dept Math, Cambridge, MA 02138 USA

关键词: Coxeter group;    Reflection subgroup;    Davis complex;   

DOI  :  10.1016/j.jcta.2014.04.008

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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