Rigidity of Right-Angled Coxeter Groups

1999/01/12 by David Radcliffe, Radcliffe, David G. · 2 citations
Materials Science · Mathematics · #20H55 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Supramolecular Self-Assembly in Materials

paper · pdf · doi:10.48550/arxiv.math/9901049

openalex publication_date 1999/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

If S and S' are two finite sets of Coxeter generators for a right-angled Coxeter group W, then the Coxeter systems (W,S) and (W,S') are equivalent.

Cited by

• Relative hyperbolicity and right-angled Coxeter groups
• Rigidity of two-dimensional Coxeter groups

Related

• Quasi-isometric rigidity of a class of right-angled Coxeter groups
• Rigidity of two-dimensional Coxeter groups
• A class of rigid Coxeter groups
• Locally rigid right-angled Coxeter groups with Fuchsian ends in dimension 5
• A counterexample to questions about boundaries, stability, and commensurability