Computing arithmetic invariants for hyperbolic reflection groups

zbMath1202.51020arXiv0708.2109MaRDI QIDQ3653996

Gregory R. Maloney, Omar Antolín Camarena, Roland K. W. Roeder

Publication date: 4 January 2010

Full work available at URL: https://arxiv.org/abs/0708.2109

zbMATH Keywords

Gram matrixcommensurable groupsramificationsCoxeter polyhedraSNAPinvariant trace fieldAndreev polyhedradoubly-truncated prismsinvariant quaternion algebraKleinian groups, hyperbolic polyhedronLambert cubesLöbell polyhedratruncated cubes

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) (n)-dimensional polytopes (52B11) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Reflection groups, reflection geometries (51F15)

Related Items (5)

On commensurable hyperbolic Coxeter groups ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ Right-angled polyhedra and hyperbolic 3-manifolds ⋮ Two-sided bounds for the volume of right-angled hyperbolic polyhedra ⋮ Arithmetic hyperbolic reflection groups

Uses Software

• PARI/GP

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