Coxeter-Davis lattices and commensurators

DOI10.5802/aif.1633zbMath0899.20019OpenAlexW2051070092MaRDI QIDQ1266230

Frédéric Haglund

Publication date: 14 September 1998

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1998__48_3_649_0

zbMATH Keywords

Coxeter groupsCAT(0) spacesTits buildingscommensuratorspolygonal complexes

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Reflection groups, reflection geometries (51F15) Synthetic differential geometry (51K10)

Related Items

Commensurability and separability of quasiconvex subgroups., On the set of covolumes of lattices for Fuchsian buildings., A normal subgroup theorem for commensurators of lattices, Finite index subgroups of graph products., Isometry groups of non-positively curved spaces: discrete subgroups

Cites Work

• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Density of the commensurability groups of uniform tree lattices
• Polygonal complexes and combinatorial group theory
• Superrigidity for homomorphisms into isometry groups of \(\text{CAT}(-1)\) spaces
• Uniform Tree Lattices
• CAT(-1)-spaces, divergence groups and their commensurators
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