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arXiv · 2205.07791

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

Philip Möller
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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.

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Philip Möller. 2022-05-16. A note on almost negative matrices and Gromov-hyperbolic Coxeter groups. https://arxiv.org/abs/2205.07791

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