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arxiv: 1007.3755 · v1 · submitted 2010-07-21 · 🧮 math.GR

A decomposition theorem for higher rank Coxeter groups

classification 🧮 math.GR
keywords coxeterhigherrankdefinesgroupgroupshyperbolicclasses
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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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