Twist-rigid Coxeter groups
classification
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math.GT
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coxetergroupsadmitangle-compatiblebasiccaseconfirmsconjecture
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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.
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