{"id":"openai-math/Parabolic-intersections-in-Artin-groups","pdf":"https://github.com/openai/math/blob/main/preprints/Parabolic-intersections-in-Artin-groups-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Parabolic-intersections-in-Artin-groups-September-23-2026","tags":["group-theory","artin-groups","coxeter-groups"],"score":0,"title":"Parabolic intersections in Artin groups","domain":"Group theory","family":"254","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Classifying spaces and geometric obstructions for Artin groups"}