The fcc lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter

DOI10.1112/jlms/jdm015zbMath1131.52010OpenAlexW2144688352MaRDI QIDQ5308177

Ruth Kellerhals, Thierry Hild

Publication date: 27 September 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdm015

zbMATH Keywords

Coxeter groupshyperbolic volumelattice packingcrystallographic groups and their lattices

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Groups acting on specific manifolds (57S25) Reflection and Coxeter groups (group-theoretic aspects) (20F55) General geometric structures on low-dimensional manifolds (57M50) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (7)

Hyperbolic Coxeter groups of minimal growth rates in higher dimensions ⋮ The cusped hyperbolic orbifolds of minimal volume in dimensions less than ten ⋮ The densest lattices in \(\mathrm{PGL}_3(\mathbb Q_2)\) ⋮ On minimal covolume hyperbolic lattices ⋮ The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume ⋮ On volumes of hyperbolic orbifolds ⋮ Hyperbolic orbifolds of minimal volume

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