{"id":"openai-math/Virtual-compact-specialness-of-hyperbolic-one-relator-groups","pdf":"https://github.com/openai/math/blob/main/preprints/Virtual-compact-specialness-of-hyperbolic-one-relator-groups-September-25-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Virtual-compact-specialness-of-hyperbolic-one-relator-groups-September-25-2026","tags":["geometric-group-theory","hyperbolic-groups","one-relator-groups"],"score":0,"title":"Virtual compact specialness of hyperbolic one-relator groups","domain":"Group theory","family":"258","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"We prove that every word-hyperbolic one-relator group is virtually compact special. Combined with the work of Kielak–Linton, this resolves Wise's virtual free-by-cyclic conjecture for hyperbolic one-relator groups: every such group is virtually free-by-cyclic, with the free kernel allowed to have infinite rank.","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"}