The acylindrical hyperbolicity conjecture for Artin groups
The acylindrical hyperbolicity conjecture for Artin groups
Let be an Artin group, and let denote the centre of . Acylindrical hyperbolicity conjecture. The quotient is acylindrically hyperbolic. This would provide a broad criterion for acylindrical hyperbolicity among Artin groups, a property that remains open in general.
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Primary source
William D. Cohen, “Acylindrical Visual Splittings and The Tits Alternative For Artin Groups”, arXiv:2509.03305 (2025).
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