When is a Coxeter System Determined by its Coxeter Group?

DOI10.1112/S0024610799008583zbMath0983.20034OpenAlexW2131370801MaRDI QIDQ4520384

Michael W. Davis, Ruth M. Charney

Publication date: 13 December 2000

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

Full work available at URL: https://doi.org/10.1112/s0024610799008583

zbMATH Keywords

Coxeter groupsCoxeter systemssimplicial complexesnervesactions on contractible manifoldsgroups of type \(HM\)groups of type \(PM\)

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07) Group actions on manifolds and cell complexes in low dimensions (57M60) Poincaré duality spaces (57P10)

Related Items (21)

Rigidity of skew-angled Coxeter groups ⋮ On the growth of a Coxeter group ⋮ IRREDUCIBLE COXETER GROUPS ⋮ On quotients of Coxeter groups ⋮ Determination up to isomorphism of right-angled Coxeter systems. ⋮ A step towards twist conjecture ⋮ Bipolar Coxeter groups. ⋮ Automorphisms of Coxeter groups ⋮ Automorphisms of right-angled Coxeter groups. ⋮ Coxeter systems with two-dimensional Davis-Vinberg complexes. ⋮ A NEW CLASS OF RIGID COXETER GROUPS ⋮ Reflection independence in even Coxeter groups. ⋮ Automorphisms of nearly finite Coxeter groups ⋮ When are two Coxeter orbifolds diffeomorphic? ⋮ Projective deformations of weakly orderable hyperbolic Coxeter orbifolds ⋮ On the Isomorphism Problem for Coxeter Groups and Related Topics ⋮ Angle-deformations in Coxeter groups. ⋮ Visual decompositions of Coxeter groups. ⋮ Anti-de Sitter strictly GHC-regular groups which are not lattices ⋮ Quiver mutations and Boolean reflection monoids ⋮ Reflection rigidity of 2-spherical Coxeter groups

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