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arXiv · 2509.03305

Acylindrical Visual Splittings and The Tits Alternative For Artin Groups

William D. Cohen
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Abstract

We give a necessary and sufficient condition on a visual splitting of an Artin group satisfying the conditions 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. 2025-09-03. Acylindrical Visual Splittings and The Tits Alternative For Artin Groups. https://arxiv.org/abs/2509.03305

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