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Mathematical analysis characterizes acylindrical visual splittings in Artin groups, identifying a broad class of novel examples that satisfy the Tits alternative.
We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conclusions of two well‐known conjectures to be acylindrical, and demonstrate how this can be used to provide a large class of novel examples of Artin groups that satisfy the Tits alternative.
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William D. Cohen (2026) studied this question.
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