We give a simple construction of Gromov hyperbolic Coxeter groups of arbitrarily large virtual cohomological dimension. Our construction provides new examples of such groups. Using this one can construct, e.g., new groups having some interesting asphericity properties.
Cite this article
Damian L. Osajda, A construction of hyperbolic Coxeter groups. Comment. Math. Helv. 88 (2013), no. 2, pp. 353–367DOI 10.4171/CMH/288