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.
Citation
Pierre-Emmanuel Caprace. Piotr Przytycki. "Twist-rigid Coxeter groups." Geom. Topol. 14 (4) 2243 - 2275, 2010. https://doi.org/10.2140/gt.2010.14.2243
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