On irreducible, infinite, nonaffine Coxeter groups

DOI10.4064/fm193-1-5zbMath1115.20031OpenAlexW2009012881MaRDI QIDQ3414790

Dongwen Qi

Publication date: 10 January 2007

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/fm193-1-5

zbMATH Keywords

parabolic subgroupscentersubgroups of finite indexCAT(0) spacesflat torus theoremirreducible Coxeter groupsessential elementssolvable subgroup theorem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (6)

Equivariant triangulations of tori of compact Lie groups and hyperbolic extension to non-crystallographic Coxeter groups ⋮ Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups ⋮ TORIC REFLECTION GROUPS ⋮ Coxeter groups and Kähler groups ⋮ Projective deformations of weakly orderable hyperbolic Coxeter orbifolds ⋮ Anti-de Sitter strictly GHC-regular groups which are not lattices

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