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Reflection subgroups of odd-angled Coxeter groups

Publication ,  Journal Article
Felikson, A; Fintzen, J; Tumarkin, P
Published in: Journal of Combinatorial Theory. Series A
January 1, 2014

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. © 2014 Elsevier Inc.

Duke Scholars

Published In

Journal of Combinatorial Theory. Series A

DOI

EISSN

1096-0899

ISSN

0097-3165

Publication Date

January 1, 2014

Volume

126

Issue

1

Start / End Page

92 / 127

Related Subject Headings

  • Computation Theory & Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics
 

Citation

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Felikson, A., Fintzen, J., & Tumarkin, P. (2014). Reflection subgroups of odd-angled Coxeter groups. Journal of Combinatorial Theory. Series A, 126(1), 92–127. https://doi.org/10.1016/j.jcta.2014.04.008
Felikson, A., J. Fintzen, and P. Tumarkin. “Reflection subgroups of odd-angled Coxeter groups.” Journal of Combinatorial Theory. Series A 126, no. 1 (January 1, 2014): 92–127. https://doi.org/10.1016/j.jcta.2014.04.008.
Felikson A, Fintzen J, Tumarkin P. Reflection subgroups of odd-angled Coxeter groups. Journal of Combinatorial Theory Series A. 2014 Jan 1;126(1):92–127.
Felikson, A., et al. “Reflection subgroups of odd-angled Coxeter groups.” Journal of Combinatorial Theory. Series A, vol. 126, no. 1, Jan. 2014, pp. 92–127. Scopus, doi:10.1016/j.jcta.2014.04.008.
Felikson A, Fintzen J, Tumarkin P. Reflection subgroups of odd-angled Coxeter groups. Journal of Combinatorial Theory Series A. 2014 Jan 1;126(1):92–127.
Journal cover image

Published In

Journal of Combinatorial Theory. Series A

DOI

EISSN

1096-0899

ISSN

0097-3165

Publication Date

January 1, 2014

Volume

126

Issue

1

Start / End Page

92 / 127

Related Subject Headings

  • Computation Theory & Mathematics
  • 4904 Pure mathematics
  • 4901 Applied mathematics
  • 0101 Pure Mathematics