Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 254-03. Parabolic intersections in Artin groups

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OpenAI@2026-10-07#rem:oai-p-254-03

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Authors: OpenAI. Family 254.

Title: Parabolic intersections in Artin groups.

Abstract: 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.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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