{"id":"openai-math/Baumslag-Solitar-free-one-relator-groups-are-hyperbolic","pdf":"https://github.com/openai/math/blob/main/preprints/Baumslag-Solitar-free-one-relator-groups-are-hyperbolic-September-25-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Baumslag-Solitar-free-one-relator-groups-are-hyperbolic-September-25-2026","tags":["geometric-group-theory","one-relator-groups","hyperbolic-groups"],"score":0,"title":"Baumslag-Solitar-free one-relator groups are hyperbolic","domain":"Group theory","family":"258","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"We prove Gersten's conjecture: every finitely generated one-relator group containing no subgroup isomorphic to a Baumslag–Solitar group $`\\mathop{\\mathrm{BS}}\\nolimits (m,n)`$, for nonzero integers m , n , is word-hyperbolic.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-25","reactions":{},"formalized":false,"family_title":"Gersten’s conjecture and virtual compact specialness of one-relator groups"}