{"id":"openai-math/Nonsingular-systems-of-equations-over-arbitrary-groups","pdf":"https://github.com/openai/math/blob/main/preprints/Nonsingular-systems-of-equations-over-arbitrary-groups-October-5-2026/nonsingular-systems-over-arbitrary-groups.pdf","url":"https://github.com/openai/math/tree/main/preprints/Nonsingular-systems-of-equations-over-arbitrary-groups-October-5-2026","tags":["group-theory","equations-over-groups","howie-conjecture"],"score":0,"title":"Nonsingular systems of equations over arbitrary groups","domain":"Group theory","family":"256","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"Every finite nonsingular system of equations over an arbitrary group has a simultaneous solution in an overgroup. This proves Howie's conjecture on nonsingular systems.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Nonsingular systems of equations over arbitrary groups"}