Determination up to isomorphism of right-angled Coxeter systems.

DOI10.3792/pjaa.79.33zbMath1054.20021OpenAlexW2049242287MaRDI QIDQ1418387

Tetsuya Hosaka

Publication date: 2003

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116443605

zbMATH Keywords

Coxeter systemsboundaries of groupsright-angled Coxeter groupsDranishnikov rigidity conjecture

Mathematics Subject Classification ID

Geometric group theory (20F65) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Topological methods in group theory (57M07)

Related Items (6)

On the automorphisms and the rigidity of right angled Coxeter groups. ⋮ Hyperbolic right-angled Coxeter groups with boundaries as a Sierpiński carpet and a Menger curve ⋮ On equivariant homeomorphisms of boundaries of CAT(0) groups and Coxeter groups ⋮ Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups ⋮ Determination up to isomorphism of right-angled Coxeter systems. ⋮ Minimality of the boundary of a right-angled Coxeter system

Cites Work

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• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Determination up to isomorphism of right-angled Coxeter systems.
• When is a Coxeter System Determined by its Coxeter Group?
• On boundaries of hyperbolic Coxeter groups

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