论文标题

关于几乎负矩阵和gromov-Hyperbolic Coxeter组的注释

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

论文作者

Möller, Philip

论文摘要

在本说明中,我们重新访问了穆斯港对Gromov hyperbolic Coxeter组的表征。当且仅当它不包含子组同构至$ \ mathbb {z}^2 $时,Coxeter组为Gromov-Hyperbolic,它才能直接从定义图中读取。我们表明,原始论点中存在很小的差距,并提供了解决方法。

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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