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math.GR2026
From Trees to Tripods: Proof of for Artin groups with -type spherical parabolics
Nima Hoda, Jingyin Huang
We reduce the -conjecture for all Artin groups with tree Coxeter diagrams to properties of Artin groups with tripod-shaped Coxeter diagrams. Combining this reduction theore…
math.GR2026
Bestvina metric and tree reduction for -conjecture
Jingyin Huang
We reduce the -conjecture for all Artin groups to properties of Artin groups whose Coxeter diagrams are trees, from which we deduce new classes of Artin groups satisfying t…