{"id":"openai-math/A-finitely-generated-counterexample-to-the-Eilenberg-Ganea-conjecture","pdf":"https://github.com/openai/math/blob/main/preprints/A-finitely-generated-counterexample-to-the-Eilenberg-Ganea-conjecture-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/A-finitely-generated-counterexample-to-the-Eilenberg-Ganea-conjecture-September-23-2026","tags":["geometric-group-theory","cohomological-dimension","group-theory"],"score":0,"title":"A finitely generated counterexample to the Eilenberg–Ganea conjecture","domain":"Group theory","family":"249","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.GR","summary":"We construct a finitely generated residually finite group of integral cohomological dimension two and geometric dimension three, disproving the Eilenberg–Ganea conjecture.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"A finitely generated Eilenberg–Ganea counterexample"}