A note on almost negative matrices and Gromov-hyperbolic Coxeter groups

Abstract

In this note we revisit Moussong's Characterization of Gromov-hyperbolic Coxeter groups. A Coxeter group is Gromov-hyperbolic if and only if it does not contain a subgroup isomorphic to ${\mathbb{Z}}^2$ which can be read off directly from the defining graph. We show that there is a small gap in the original argument and provide a workaround.

arXiv commentV2: Fixed Typoes and provided additional arguments to fix an additional problem with the original. 19 Pages, 5 Figures. Comments are welcome!