Twist-rigid Coxeter groups

Abstract

We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter group are conjugate provided one of them does not admit any elementary twist. This confirms a basic case of a general conjecture which describes a potential solution to the isomorphism problem for Coxeter groups.

28 pages, 1 figure

References in corpus (2)

• The isomorphism problem for Coxeter groups
• Angle-deformations in Coxeter groups

Cited by in corpus (4)

• Bipolar Coxeter groups
• Intrinsic reflections in Coxeter systems
• The galaxy of Coxeter groups
• A note on Weyl groups and crystallographic root lattices