A decomposition theorem for higher rank Coxeter groups

Mathematics – Group Theory

Scientific paper

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7 pages, 3 figures

Scientific paper

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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