On commensurable hyperbolic Coxeter groups

DOI10.1007/s10711-016-0151-7zbMath1378.51011OpenAlexW2322144095MaRDI QIDQ303998

Ruth Kellerhals, Rafael Guglielmetti, Matthieu Jacquemet

Publication date: 23 August 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: http://doc.rero.ch/record/277377/files/kel_chc.pdf

zbMATH Keywords

arithmetic groupcommensurabilityamalgamated free productCoxeter pyramidhyperbolic Coxeter grouptranslational lattice

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Reflection groups, reflection geometries (51F15) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (5)

On minimal covolume hyperbolic lattices ⋮ Cusp density and commensurability of non-arithmetic hyperbolic Coxeter orbifolds ⋮ All hyperbolic Coxeter \(n\)-cubes ⋮ New hyperbolic 4-manifolds of low volume ⋮ Ideal Uniform Polyhedra in and Covolumes of Higher Dimensional Modular Groups

Uses Software

• CoxIter

Cites Work

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