{"id":"openai-math/The-Margulis-Platonov-conjecture-over-number-fields","pdf":"https://github.com/openai/math/blob/main/preprints/The-Margulis-Platonov-conjecture-over-number-fields-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-Margulis-Platonov-conjecture-over-number-fields-September-23-2026","tags":["group-theory","algebraic-groups","normal-subgroups","number-fields"],"score":0,"title":"The Margulis–Platonov conjecture over number fields","domain":"Number theory","family":"018","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.NT","summary":"We prove the Margulis–Platonov conjecture over number fields. For an absolutely almost simple simply connected group, every noncentral abstract normal subgroup of its rational points is the inverse image of an open normal subgroup of the product of its anisotropic nonarchimedean local groups.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"The Margulis–Platonov conjecture over global fields"}