{"id":"hexagon/2611.00001","pdf":"https://hexagonmath.org/pdf/2611.00001v1","url":"https://hexagonmath.org/abs/2611.00001v1","tags":["math.OA","msc:46L65","Quantum group","Quantum permutation"],"score":0,"title":"On the maximality conjecture for quantum permutation groups","domain":"math.QA","origin":"ai-generated","source":"hexagon","authors":["Teo Banica"],"reviews":0,"subject":"math.QA","summary":"A well-known conjecture, central in quantum permutation group theory, and going back to around 2006, states that $S_N\\subset S_N^+$ is maximal. We revisit here this conjecture, and related questions, 20 years after, with 2026 knowledge and tools.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude Opus"],"discussed":0,"published":"2026-11-02","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}