Commensurability classes of hyperbolic Coxeter groups.

DOI10.1016/S0024-3795(01)00477-3zbMath1033.20037MaRDI QIDQ1347951

Steven T. Tschantz, John G. Ratcliffe, Ruth Kellerhals, Norman W. Johnson

Publication date: 15 May 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://www.mathematicsweb.org/pub/8/4/48/175/27/33/abstract.html

zbMATH Keywords

Coxeter groupsquadratic formsreflection groupsarithmetic groupscommensurabilityhyperbolic simplices

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (20)

Finiteness of maximal geodesic submanifolds in hyperbolic hybrids ⋮ On commensurable hyperbolic Coxeter groups ⋮ Even more infinite ball packings from Lorentzian root systems ⋮ CoxIter – Computing invariants of hyperbolic Coxeter groups ⋮ On volumes of hyperbolic Coxeter polytopes and quadratic forms ⋮ New horoball packing density lower bound in hyperbolic 5-space ⋮ New lower bounds for optimal horoball packing density in hyperbolic \(n\)-space for \(6\le n\le 9\) ⋮ The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume ⋮ Regular compounds of honeycombs in \(\mathbb{H}^3\) and \(\mathbb{H}^4\) ⋮ A polyhedral approach to the arithmetic and geometry of hyperbolic link complements ⋮ Cusp density and commensurability of non-arithmetic hyperbolic Coxeter orbifolds ⋮ On the commensurability of hyperbolic Coxeter groups ⋮ A small cusped hyperbolic 4‐manifold ⋮ Hyperbolic subalgebras of hyperbolic Kac-Moody algebras ⋮ New lower bound for the optimal ball packing density in hyperbolic 4-space ⋮ Compact hyperbolic 4-manifolds of small volume ⋮ Essential hyperbolic Coxeter polytopes ⋮ All hyperbolic Coxeter \(n\)-cubes ⋮ Virtually spinning hyperbolic manifolds ⋮ Arithmetic hyperbolic reflection groups

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