Reflection rigidity of 2-spherical Coxeter groups

DOI10.1112/plms/pdl015zbMath1140.20032OpenAlexW2004730152MaRDI QIDQ3434060

Pierre-Emmanuel Caprace, Bernhard Mühlherr

Publication date: 23 April 2007

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

Full work available at URL: https://doi.org/10.1112/plms/pdl015

zbMATH Keywords

Coxeter systemsCoxeter generating setsreflection rigidity2-spherical Coxeter groupsinfinite irreducible Coxeter groups of finite ranksets of reflections

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15)

Related Items

Twist-rigid Coxeter groups., Dihedral twists in the twist conjecture, On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms., Locally finite continuations and Coxeter groups of infinite ranks, A step towards twist conjecture, Bipolar Coxeter groups., Matching theorems for systems of a finitely generated Coxeter group., On conjugacy of abstract root bases of root systems of Coxeter groups, Chordal Coxeter groups., Isomorphisms of Kac-Moody groups, On the Isomorphism Problem for Coxeter Groups and Related Topics, Angle-deformations in Coxeter groups.

Cites Work

• The conjugacy problem for Coxeter groups.
• Root systems of hyperbolic type
• Normalizers of parabolic subgroups in Coxeter groups
• On outer automorphism groups of Coxeter groups
• Rigidity of Coxeter groups and Artin groups
• Reflections in abstract Coxeter groups.
• On the root system of a coxeter group
• Automorphisms of nearly finite Coxeter groups
• When is a Coxeter System Determined by its Coxeter Group?
• Rigidity of skew-angled Coxeter groups