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Parabolic intersections in Artin groups

Source: github.com/openai/math/tree/main/preprints/Parabolic-inters…

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OpenAI Mathopenai-math/Parabolic-intersections-in-Artin-groupsSep 23, 2026math.GRAI-generatedscore 0

We prove that every intersection of parabolic subgroups of any finite-rank Artin group, with arbitrary finite or infinite Coxeter labels, is parabolic. This resolves the Parabolic Intersection Conjecture affirmatively.

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