A decomposition theorem for higher rank Coxeter groups

Ryan Blair; Ryan Ottman

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arXiv · 1007.3755

A decomposition theorem for higher rank Coxeter groups

Ryan Blair·Ryan Ottman

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Abstract

In this paper, we show that any Coxeter graph which defines a higher rank Coxeter group must have disjoint induced subgraphs each of which defines a hyperbolic or higher rank Coxeter group. We then use this result to demonstrate several classes of Coxeter graphs which define hyperbolic Coxeter groups.

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Ryan Blair, Ryan Ottman. 2010-07-21. A decomposition theorem for higher rank Coxeter groups. https://arxiv.org/abs/1007.3755

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