Highly Influential

7 Excerpts

- Published 2006

We consider the subgroup of an arbitrary Coxeter group generated by the reflections which commute with a given reflection. We determine completely for which case this subgroup is finitely generated. This result provides new uniform examples of non-finitely generated subgroups in finitely generated groups.

@inproceedings{Nuida2006OnRI,
title={On reflections in Coxeter groups commuting with a reflection},
author={Koji Nuida and Vinay V. Deodhar},
year={2006}
}