Linear Algebra and its Applications
Volume 345, Issues 1–3, 15 April 2002, Pages 119-147
Commensurability classes of hyperbolic Coxeter groups
Submitted by C. Davis
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Abstract
In this paper, we classify all the hyperbolic Coxeter n-simplex reflection groups up to wide-commensurability for all n⩾3. We also determine all the subgroup relationships among the groups.
MSC
Primary 20F55
Keywords
Arithmetic group
Coxeter group
Commensurability
Hyperbolic simplex
Quadratic form
Reflection group
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- Partially supported by Schweizerischer Nationalfunds No. 20-61379.00.
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